Information regarding Maxwell’s direct labor cost for the month of January follows: Direct labor hourly rate paid $ 29.90 Total standard direct labor hours for units produced this period 12,400 Direct labor hours actually worked 12,200 Direct labor rate variance $ 17,400 favorable Required: 1. Compute the standard direct labor wage rate per hour in January. (Round your answer to 2 decimal places.) 2. Compute the direct labor efficiency variance for January. Was this variance favorable (F) or unfavorable (U)? (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.)

Answers

Answer 1

Answer:

A. $31.81

B.6,362 F

Explanation:

Total actual direct labor hours (DLHs) worked (given)12,400

Actual hourly rate (given)× 29.90

Total actual total direct labor cost $370,760

Plus: Favorable direct labor rate variance (given)+ 17,400

Total actual direct labor hours at standard hourly rate$388,160

Total actual direct labor hours worked (given)÷ 12,200

Standard direct labor rate per hour (to two decimal places)$31.81

2.Direct labor efficiencyvariance = actual hours at standard cost − standard labor cost for units produced

= [(AQ) × (SP)] − [(SQ) × (SP)]= [12,200 hrs. × $31.81/hour] − [12,400 hrs. × $31.81/hr.]

=388,082-394,444

= $6,362F (to the nearest whole dollar)


Related Questions

Star Corp. reported pretax net income from continuing operations of $1,000,000. Tax depreciation exceeded book depreciation by $100,000. Star Corp. had $50,000 of accrued vacation pay that was not deductible. Star Corp. also claimed $150,000 dividends received deduction (DRD). Assume no valuation allowance.
Required:
a. Compute Star Corp.'s current income tax expense or benefit.
b. Compute Star Corp.'s deferred income tax expense or benefit.
c. Provide two reconciliation of Star Corp.'s total income tax provision with its hypothetical income tax expense of 21% in both dollars and rates.

Answers

Answer:

Star Corp

A.

Pretax net income from continuing operations = $1,000,000

Add Accrued Vacation $50,000

Deduct additional Tax Depreciation $100,000

Deduct Dividend received deductions $150,000

Net Taxable Income = $800,000

Income Tax expenses = 21% x $800,000 = $168,000

Income tax Expense provision based on book Net income = 21% x $1,000,000 = $210,000

Income tax benefit = $168,000 minus $210,000 = $42,000 (benefit)

B.

Deferred income tax expense =

Income tax Provision = $210,000

Less income tax expense = $168,000

Differed income tax (benefit) = $42,000

C.

Reconciliation

Book Net income = $1,000,000

Tax rate = 21%

Tax expense provision = $210,000...(a)

Pretax net income from continuing operations = $1,000,000

Add Accrued Vacation $50,000

Deduct additional Tax Depreciation $100,000

Deduct Dividend received deductions $150,000

Taxable Net income (adjusted) = $800,000

Tax rate = 21%

Tax expense provision = $168,000......(b)

Difference (a) minus (b) = $42,000 . This is a benefit to the firm (star corp) because its actual tax liability is less than what it provided for because of net deductibles not accounted for in its income statement.

The Acme Widget Company has found that if widgets are priced at s 389, then 1000 will be sold. They have also found that for every increase of $ 10, there will be 600 fewer widgets sold. The marginal cost of widgets is $ 97.25. The fixed costs for the Acme Widget Company are $ 8000. lf x represents the price of a widget find the following in terms of x The number of widgets that will be sold: The revenue generated by the sale of widgets: The cost of producing just enough widgets to meet demand: The proft from selling widgets: Find the price that will maximize profits from the sale of widgets:

Answers

Answer:

See the explanation below.

Explanation:

a. The number of widgets that will be sold

Let y represent the number of widgets that will be sold, and and we already have x as price of widget, we therefore have:

y - 1,000 = (-600/10) * (x - 389)

y - 1,000 = -60 * (x - 389)

y = 1,000 - [60 * (x - 389) ]

y = 1,000 - 60x + 23,340

y = 24,340 - 60x

b. The revenue generated by the sale of widgets

Let R represent Revenue, therefore we have:

R = xy

R = x(24,340 - 60x)

R = 24,340x - 60x²

c. The cost of producing just enough widgets to meet demand

Let C represent total cost, we therefore have:

C = 8,000 + 97.25y  

C = 8,000 + 97.25(24,340 - 60x)

C = 8,000 + 2,367,065  - 5,835x

C =  2,375,065  - 5,835x

d. The proft from selling widgets

Let P represent profit, we therefore have:

P = R - C

P = 24,340x - 60x²  - (2,375,065  - 5,835x)

P = 24,340x - 60x²  - 2,375,065  + 5,835x

P = - 60x²  + 30,175x - 2,375,065

e. Find the price that will maximize profits from the sale of widgets

Profit is optimum when dP/dx = 0

Therefore, we have

0 = - 120x + 30,175

120x = 30,175

x = 30,175/120 = $251.46

Answer:  D.

to promote competition between widget makers

Explanation:

Fully vested incentive stock options exercisable at $46 per share to obtain 20,000 shares of common stock were outstanding during a period when the average market price of the common stock was $50 and the ending market price was $50. What will be the net increase in the weighted-average number of shares outstanding due to the assumed exercise of these options when calculating diluted earnings per share?

Answers

Answer:

1,600

Explanation:

Cost of incentive stock options 20,000*46=$920,000

Shares at exercise price $920,000/50=18,400

Shares option difference 20,000-18,400=1,600

Vincent and Jean are two cooks who work in a village. Each of them can either bake cakes or make pizzas. Every ingredient is readily available to them, and the only scarce resource is the cooks' time. Vincent can bake 10 cakes or make 5 pizzas in an hour. Jean can bake 12 cakes or make 8 pizzas in an hour. Please answer the four questions.

Which cook has the absolute advantage in baking cakes?

A. Vincent
B. Jean
C. Neither

Answers

Answer: B. Jean

Explanation:

Having Absolute Advantage in the production of a good means that you can produce more of that good given the same resources or at least the same Quantity as others given lower resources.

From the scenario above therefore, Jean has the Absolute Advantage in producing Cakes as Jean can bake 12 cakes in an hour while Vincent can only bake 10.

A corporate bond that pays interest annually yields a rate of return of 10.00 percent. The inflation rate for the same period is 4 percent. What is the real rate of return on this bond

Answers

Answer:

5.76%

Explanation:

The solution is as follows,

=> (1 + 0.10) = (1 + r) * (1 + 0.04)

=> r = (1.1 / 1.04) - 1

=> r = 5.76%

Hope this clear things up.

Thankyou.

Answer:

The real rate of return on this bond is 5.77%

Explanation:

1. Let's review the information given to us to answer the question correctly:

Nominal rate = 10% = 0.1

Inflation rate = 4% = 0.04

2.  What is the real rate of return on this bond?

Let's recall the formula of the Real Rate of Return:

Real Rate of Return = (1 + Nominal rate/1 + Inflation rate) - 1

Replacing with the values we know, we have:

Real Rate of Return = (1 + 0.1/1 + 0.04) - 1

Real Rate of Return = 1.0577 - 1

Real Rate of Return = 0.0577 or 5.77%

A customer has requested that Lewelling Corporation fill a special order for 1,900 units of product S47 for $41 a unit. While the product would be modified slightly for the special order, product S47's normal unit product cost is $16.00: Direct materials $ 4.30 Direct labor 4.00 Variable manufacturing overhead 1.40 Fixed manufacturing overhead 6.30 Unit product cost $ 16.00 Assume that direct labor is a variable cost. The special order would have no effect on the company's total fixed manufacturing overhead costs. The customer would like modifications made to product S47 that would increase the variable costs by $2.20 per unit and that would require an investment of $11,000.00 in special molds that would have no salvage value. This special order would have no effect on the company's other sales. The company has ample spare capacity for producing the special order. The annual financial advantage (disadvantage) for the company as a result of accepting this special order should be:

Answers

Answer:

Profit from sale of special order = $77,900 - $33,610 = $44,290

Explanation:

Being a special order and an added opportunity to its regular sales of S47, we will be looking at the Marginal Costs of accepting to produce the order:

Direct Material = $4.30

Direct Labour = $4.00

Variable Overhead = $3.60

Fixed Manufacturing Overhead = $6.30

Total Costs = $18.20

But, Fixed Costs is already covered/absorbed by our existing business; as such we need not include it in the costing of the special order

And there is an Additional investment in moulds = $11,000

Total cost of special order = ($18.20 - $6.30) x 1,900 units + $11,000

= $33,610

Sales of special order = 1,900 units x $41 =$77,900

Profit from sale of special order = $77,900 - $33,610 = $44,290

Baker Corporation owned a building located in Kansas. Baker used the building for its business operations. Last year a tornado hit the property and completely destroyed it. This year, Baker received an insurance settlement. Baker had originally purchased the building for $350,000 and had claimed a total of $100,000 of depreciation deductions against the property. What is Baker’s realized and recognized gain or (loss) on this transaction and what is its basis in the new building in the following alternative scenarios?a. Baker received $450,000 in insurance proceeds and spent $450,000 rebuilding the building during the current year.b. Baker received $450,000 in insurance proceeds and spent $500,000 rebuilding the building during the current year.c. Baker received $450,000 in insurance proceeds and spent $400,000 rebuilding the building during the current year.d. Baker received $450,000 in insurance proceeds and spent $450,000 rebuilding the building during the next three years.

Answers

Answer:

a. Recognized Gain $0 and Basis in new building $250,000

b. Recognized Gain $0 and Basis in new building $300,000

c. Recognized Gain $50,000 and Basis in new building $250,000

d. Recognized Gain $200,000 and Basis in new building $450,000

Explanation:

a. Baker has reinvested the insurance proceeds and therefore will not recognize any of its $200,000 realized gain. Moreover, Baker’s basis in the new building is $250,000. As shown below:

S. No.     Particular                                   Amount($)       Clarification

  1           Insurance Proceeds                    450,000     Given in Question

  2          Adjusted Value                            250,000    350,000 - 100,000

  3          Realized Gain                               200,000    (1) – (2)

  4          Proceeds Reinvested                  450,000     Given in Question

  5          Amount not Reinvested                     0           (1) – (4)

  6          Gain recognized                                 0           Lower of (3) or (5)

  7           Deferred Gain                              200,000     (3) – (6)

  8           Value of Replacement Property 450,000     Given in Question

  9           Basis of Replacement Property  250,000     (8) – (7)

b. Baker has reinvested the insurance proceeds and therefore will not recognize any of its $200,000 realized gain. Moreover, Baker’s basis in the new building is $300,000. As shown below:

S. No.     Particular                                   Amount($)       Clarification

  1           Insurance Proceeds                    450,000     Given in Question

  2          Adjusted Value                            250,000    350,000 - 100,000

  3          Realized Gain                               200,000    (1) – (2)

  4          Proceeds Reinvested                  500,000     Given in Question

  5          Amount not Reinvested                     0           (1) – (4)

  6          Gain recognized                                 0           Lower of (3) or (5)

  7           Deferred Gain                              200,000     (3) – (6)

  8           Value of Replacement Property 500,000     450,000 + 50,000

  9           Basis of Replacement Property  300,000     (8) – (7)

c. Baker has reinvested $400,000 of the insurance proceeds and therefore will recognize gain of $50,000 out of the $200,000 realized gain. Moreover, Baker’s basis in the new building is $250,000. As shown below:

S. No.     Particular                                   Amount($)       Clarification

  1           Insurance Proceeds                    450,000     Given in Question

  2          Adjusted Value                            250,000    350,000 - 100,000

  3          Realized Gain                               200,000    (1) – (2)

  4          Proceeds Reinvested                  400,000     Given in Question

  5          Amount not Reinvested               50,000       (1) – (4)

  6          Gain recognized                            50,000      Lower of (3) or (5)

  7           Deferred Gain                              150,000     (3) – (6)

  8           Value of Replacement Property 400,000     450,000 - 50,000

  9           Basis of Replacement Property  250,000     (8) – (7)

d. Baker has taken three years in order to replace the property destroyed and therefore, will recognize all of its $200,000 realized gain. Baker's basis in the new building is $450,000. As shown below:

S. No.     Particular                                   Amount($)       Clarification

  1           Insurance Proceeds                    450,000     Given in Question

  2          Adjusted Value                            250,000    350,000 - 100,000

  3          Realized Gain                               200,000    (1) – (2)

  4          Proceeds Reinvested                        0            Given in Question

  5          Amount not Reinvested               450000      (1) – (4)

  6          Gain recognized                           200,000     Lower of (3) or (5)

  7           Deferred Gain                                     0           (3) – (6)

  8           Value of Replacement Property  450,000    Given in Question

  9           Basis of Replacement Property   450,000    (8) – (7)

Final answer:

The student has asked about the realized and recognized gains or losses on a destroyed property and the basis in the rebuilt property for Baker Corporation. Baker's realized gain in all scenarios is $200,000, which can be deferred if the insurance proceeds are reinvested in rebuilding the property. The tax basis of the rebuilt property varies depending on the additional amount spent over the insurance proceeds.

Explanation:

The student is asking about the realized and recognized gain or loss on an involuntary conversion of property due to a disaster, and the basis for the new property. This falls under the tax treatment of property and gains which is a Business topic, specifically within Taxation.

Firstly, realized gain or loss is the difference between the amount of insurance proceeds received and the adjusted basis of the destroyed property. The adjusted basis is the original cost of the property minus any depreciation claimed. In this scenario, the adjusted basis of Baker's building is $250,000 ($350,000 original purchase price - $100,000 total depreciation).

Recognized gain or loss is the amount of the realized gain or loss that is actually reportable for tax purposes. If all the insurance proceeds are reinvested in similar property within a specified time period, the realized gain is not recognized, thus deferring the tax on the gain (called a like-kind exchange).

Scenario a: Baker has a realized gain of $200,000 ($450,000 insurance proceeds - $250,000 adjusted basis). However, since Baker spent the entire insurance proceeds on rebuilding within the same year, the gain is not recognized. Baker's basis in the new building is the old building's adjusted basis plus any additional costs, which in this case is just the adjusted basis of $250,000.

Scenario b: Similar to Scenario a, Baker has a realized gain of $200,000 with no taxable recognition since the proceeds were reinvested, but Baker's basis in the new building would be higher at $300,000 ($250,000 adjusted basis + $50,000 extra spent).

Scenario c: Baker still has a realized gain of $200,000. Baker will recognize the gain to the extent the insurance proceeds exceed the cost of the new property. The recognized gain is $50,000 ($450,000 insurance proceeds - $400,000 spent on new building). The basis of the new building would be the cost of the new building, which is $400,000.

Scenario d: As with Scenario a, Baker has a realized gain of $200,000, which is not recognized provided that the entire amount is expended on rebuilding within a certain period, typically two years after the year of the loss for non-personal-use property. Baker's basis in the new property remains the same as in scenario a, $250,000.

Karen has an $80,825 basis in her 50 percent partnership interest in the KD Partnership before receiving a current distribution of $7,575 cash and land with a fair market value of $40,850 and a basis to the partnership of $21,150.

a. What is the amount and character of Karen's recognized gain or loss?

b. What is Karen's basis in the land?

c. What is Karen's remaining basis in her partnership interest?

Answers

Answer: a) $0

b) $21,150

c)$52,100

Explanation:

a) Karen would recognize no gain or losses in this scenario.

b) Karen would carryover the basis on the land which is $21,150

c) To calculate her remaining basis, we subtract the cash payment as well as the basis for the land she was distributed.

Calculating would be,

= 80,825 - 7,575 - 21,150

= $52,100

$52,100 is Karen's remaining basis in her partnership interest.

Dawson Toys, Ltd., produces a toy called the Maze. The company has recently established a standard cost system to help control costs and has established the following standards for the Maze toy:

Direct materials: 8 microns per toy at $0.33 per micron
Direct labor: 1.4 hours per toy at $6.90 per hour
During July, the company produced 5,000 Maze toys. Production data for the month on the toy follow:
Direct materials: 74,000 microns were purchased at a cost of $0.31 per micron. 24,000 of these microns were still in inventory at the end of the month.
Direct labor: 7,400 direct labor-hours were worked at a cost of $54,760.
1. Compute the following variance for july

a The materials price and quantity variances

b. The labor rate and efficiency variances

Answers

Answer:

Materials price variance = 1000 Favorable

Material Quantity Variance= 3300 unfavorable

2-a) Direct Labor Rate variance =3700 Unfavorable

Direct labor time variance=2760 Unfav

Explanation:

Given

Standard Quantity: Direct materials: 8 microns per toy

Standard Price  $0.33 per micron

Standard hours :Direct labor: 1.4 hours per toy

Standard rate   $6.90 per hour

Actual Production 5,000 Maze toys.

Working

Actual Quantity Purchased: Direct materials: 74,000 microns

Actual Price $0.31 per micron.

Actual Quantity  used =74,000 microns- 24,000 = 50,000 microns

Standard Quantity Allowed = 8 * 5000= 40,000 microns

Actual hours: Direct labor: 7,400 direct labor-hours

Standard Hours allowed= 5000 units * 1.4= 7000 labor hours

Actual rate = $54,760/7400=$ 7.4 per hour

Calculations

1-a) Materials price variance = (Actual Price - Standard Price )* Actual Quantity

Materials price variance = (0.31- 0.33)50,000= 1000 Favorable

Material Quantity Variance= (Standard Price) *( Actual Quantity- Standard Quantity)

Material Quantity Variance=(0.33) - (50,000- 40,000) = 0.33*10,000= 3300 unfavorable

2-a) Direct Labor Rate variance= (actual hours)* actual rate- standard rate

= 7,400 (7.4-6.9)= 7400*0.5= 3700 Unfavorable

Direct labor time variance=standard rate* (actual hours )- (standard hours )

= 6.9 ( 7400- 7000) = 6.9 * 400=  2760 Unfav

Suppose Eileen is an avid reader and buys only comic books. Eileen deposits $3,000 in a bank account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed—that is, it won't change over time. At the time of her deposit, a comic book is priced at $10.00.
Required:
a. Initially, the purchasing power of Eleen's $3,000 deposit is __________ comic books.

Answers

Answer:

300 comic books

Explanation:

Purchasing power of money at any point in time is the quantity of goods and services that can be acquired using the stock of money at the prevailing price level.

As at the time the $3000 money was deposited, the price per book stood at $10.

Purchasing power of $3000

= $3000/$10

= 300 comic books

Consider two companies that are identical in terms of current operating cash flows and current capital investment. They are also identical in terms of the rate of future growth in operating cash flows. The only difference is that company A has a higher rate of growth in capital expenditures than company B. Which company is more valuable, and why?

Answers

Answer: Most likely Company A

Explanation:

Generally an increase in Capital Expenditure means that a company is investing more which would mean that revenue will increase in future which will give it a higher valuation.  

However, sometimes this spending might just be on Maintenance of Capital assets. When this happens the company is given a lower valuation.

Plainly speaking therefore, if Company A has a higher growth rate in Capital Expenditure because they are investing which is likely to be the case, then they would be more valuable than Company B.

The difference between the short-run and the long-run is _____.

a. three months, or one business quarter.
b. the time it takes for firms to change all inputs in the production process.
c. the time it takes for firms to change only their variable inputs.
d. More information is required to answer this question.

Answers

Answer: the time it takes for firms to change all production inputs.(B)

Explanation:

In macroeconomics, the short run is defined as the time horizon when the wages and prices of other inputs to production are inflexible, while the long run is the period of time when input prices have time to adjust.

In the long-run, all factors of production and costs are variable such that firms are able to adjust every costs, whereas, in the short run, the firms only influence prices through the adjustments made to production levels.

Teddy Bower is an outdoor clothing and accessories chain that purchases a line of parkas at $12 each from its Asian supplier, TeddySports. Unfortunately, at the time of the order placement, demand is still uncertain: Teddy Bower forecasts that its demand is normally distributed with a mean of 2,300 and a standard deviation of 1,100. Teddy Bower sells these parkas at $22 each. Unsold parkas have little salvage value; Teddy Bower simply gives them away to a charity (and also doesn’t collect a tax benefit for the donation).
a) How many parkas should Teddy Bower buy from TeddySports to maximize expected profit?

For parts b) through d), assume Teddy Bower orders 3,000 parkas (Q=3,000). b) What is Teddy Bower’s CSL (in-stock probability)?

c) On average, how many customers does Teddy Bower expect to turn away because of shortage? And on average, how many parkas will Teddy Bower liquidate after each season?

d) What is Teddy Bower’s expected profit?

Answers

Answer:

a) 2179 parkas

b) 0.7389

c) 174 customers

d) 10,772

Explanation:

Given:

Bower's selling price =$22

Salvage value: $0

Cost price = $12

Mean distribution= 2300 parkas

S.d = 1100 parkas

a) Number of parkas Teddy Bower should buy from Teddysports to maximize profit:

Let's first calculate overage(Co) and underage (Cu) cost.

•Cu = Selling price - Cost price

= $22 - $12

= $10

Underage cost = $10

•Co = Cost price - Salvage value

= $12 - $0

= $12

Overage cost = $12

Let's now find the critical ratio with the formula:

[tex] \frac{C_u}{C_u+C_o}[/tex]

[tex]= \frac{10}{12+10} [/tex]

= 0.4545

From the Excel function NORMSINV, the corresponding z value is =

NORMSINV(0.4545)

z value = -0.11

For the number of parkas Teddy Brown should order, we have:

Quantity = Mean +(z*s.d)

= 2300+ (-0.11 * 1100)

= 2179 parkas

b) for z value corresponding to expected sales of 3000 parkas, we have:

z value = (expected demand -mean)/s.d

[tex] \frac{3000-2300}{1100}[/tex]

= 0.64

From the Excel function NOEMSDIST, the corresponding probability =

NORMSDIST(0.64)

= 0.7389 = 73.89%

In stock probability = 0.7389

c) For L(0.64) using the standard normal loss function table, L(z) =

L (0.64) = 0.158

For expected lost sales, we have:

S.d * L(z)

= 1100* 0.158

= 173.8

= 174.

On average, there is expected to be a turn away of 174 customers due to shortage.

d)

Lets first calculate expected sales and left over inventory.

•Expected sales = Mean -expected lost sales

= 2,300 - 174

= 2,126

•Left over inventory expected=

Expected demand - Expected lost sales

= 3000 - 2126

= 874

For expected profit, we have:

[tex] (C_u* Expected lost sales)-(C_o* Expected leftover inventory)[/tex]

=($10*2126)-($12*874)

= $10,772

Profit expected = $10,772

Arigold Inc. has been manufacturing its own finials for its curtain rods. The company is currently operating at 100% of capacity, and variable manufacturing overhead is charged to production at the rate of 62% of direct labor cost. The direct materials and direct labor cost per unit to make a pair of finials are $3.98 and $4.78, respectively. Normal production is 30,400 curtain rods per year. A supplier offers to make a pair of finials at a price of $13.16 per unit. If Marigold accepts the supplier’s offer, all variable manufacturing costs will be eliminated, but the $43,100 of fixed manufacturing overhead currently being charged to the finials will have to be absorbed by other products.Required:a. Prepare an incremental analysis to decide if Arigold Inc should buy the finials.b. Should Arigold Inc. buy the finials?

Answers

Answer:

Arigold Inc's Finials' Incremental Analysis:

a-i) To buy Finials, the price is $13.16 per unit.

a-ii) To make Finials, the relevant cost per unit is calculated as follows:

Materials = $3.98 per unit

Labor = $4.78 per unit

Variable Overhead = 62% of Labour cost, = 0.62 x $4.78 = $2,96

Therefore, total cost per unit is $(3.98 +4.78 + 2.96) = $11.72

b) Comparing the purchase cost of $13.16 and the make cost of $11.72 per unit, Arigold Inc should not buy the Finials.

Even when the fixed manufacturing overhead is charged to the Finials, the total unit cost (absorbed) will be $13,14, which is still less than the make cost of $13.16 per unit.

Explanation:

Incremental Analysis is a business technique that assists in making decisions among choices as it shows the true differences between alternatives.  It is also known as the relevant cost approach, differential, and marginal analysis.

In the case of Arigold Inc, we disregarded the sunk or fixed manufacturing overhead of $43,100.  This is cost is not relevant in this type of decision because it would still be incurred no matter the decision taken.

"Advertising": A. is the only form of mass selling. B. is also called "sales promotion." C. is concerned with "promotion" using samples, coupons, and contests. D. involves direct spoken communication between sellers and potential customers. E. is any paid form of nonpersonal presentation of ideas, goods, or services by an identified sponsor.

Answers

Answer:

E. is any paid form of nonpersonal presentation of ideas, goods, or services by an identified sponsor.

Explanation:

Advertising is marketing communication business activity that uses an openly sponsored message to promote and sell a product, service, or idea and are sponsored by the business typically wishing to promote their services. Advertising is communication through various media such as the newspaper, T.V, blogs and other channels the actual presentation of the message is medium that is called ad or an advertisement and includes non-personal messages.

Victim V works at a job where he might be exposed accidentally to a chemical that increases the probability from .01 to .02 of dying from lung cancer in 20 years. V would pay $15,000 to avoid exposure to this risk, or he would accept $15,000 to expose himself to this risk. No matter how hard he tries, V cannot imagine any sum of money that he would accept in ex- change for certain death by lung cancer. V’s employer accidentally exposes him to the chemical. The risk materializes after 20 years, and V dies abruptly from lung cancer. How much are Hand rule damages for V’s heirs? After exposure and before dying, V spent $1000 to move to another neighborhood with better air quality. Should $1000 be added to Hand rule damages, or is it already implicitly included?

Answers

Answer:

HAND RULE DAMAGES ARE : THEY EQUAL THE REASONABLE BURDEN OF PRECAUION DIVIDED BY THE RESULTING REDUCTION IN THE PROBABILIY OF HARM. AS V IS INDIFFERENT BETWEEN $15000 INCREASE AND AN INCREASE OF .01 IN THE PROBABILITY OF CANCER DEATH.

THUS HAND RULE DAMAGES ARE $15000 / 0.1 = $1.5 MILLION.

SINCE IT IS AN OBJECTIVE COST AND SINCE V WAS INDIFFERENT AS NO COST WAS ACCEPTABLE FOR HIS LIFE , SO IT IS IMPLICITLY INCLUDED

Explanation:

HAND RULE DAMAGES ARE : THEY EQUAL THE REASONABLE BURDEN OF PRECAUION DIVIDED BY THE RESULTING REDUCTION IN THE PROBABILIY OF HARM. AS V IS INDIFFERENT BETWEEN $15000 INCREASE AND AN INCREASE OF .01 IN THE PROBABILITY OF CANCER DEATH.

THUS HAND RULE DAMAGES ARE $15000 / 0.1 = $1.5 MILLION.

SINCE IT IS AN OBJECTIVE COST AND SINCE V WAS INDIFFERENT AS NO COST WAS ACCEPTABLE FOR HIS LIFE , SO IT IS IMPLICITLY INCLUDED.

Final answer:

Hand rule damages for Victim V's heirs would be $16,000, combining the $15,000 that V valued the increased risk of dying from cancer and the additional $1,000 spent on moving to an area with better air quality in an attempt to mitigate the risk.

Explanation:

The question involves calculating Hand rule damages, which are based on the economic principle of the Hand formula (B < PL) used to determine negligence and potential liability costs.

Here, we're given that Victim V would have paid $15,000 to avoid the increased risk of dying from lung cancer due to chemical exposure, representing the economic valuation of the risk. Therefore, if the accident increased the probability of death from 0.01 to 0.02 over twenty years, the increase in risk is valued at $15,000, which is the amount Victim V would have accepted to take on the risk.

As for the $1,000 spent on moving to a better air quality area, this is separate from the calculation of the Hand rule damages. The expense is a mitigation cost incurred post exposure to try and reduce the harm from the chemical exposure. Consequently, it should be added to the Hand rule damages as it represents an additional loss directly related to the exposure.

The total Hand rule damages for V's heirs would therefore be the $15,000 valuation of the risk of death plus the $1,000 mitigation cost, totaling $16,000.

Englert Hospital began using standards to evaluate its Admissions Department. The standard was broken into two types of admissions as follows: Type of Admission Standard Time to Complete Admission Record Unscheduled admission 30 min. Scheduled admission 15 min. The unscheduled admission took longer because name, address, and insurance information needed to be determined and verified at the time of admission. Information was collected on scheduled admissions prior to the admissions, which was less time-consuming. The Admissions Department employs four full-time people (40 productive hours per week, with no overtime) at $15 per hour. For the most recent week, the department handled 140 unscheduled and 350 scheduled admissions. a. How much was actually spent on labor for the week? $ b. What are the standard hours for the actual volume for the week (round to one decimal place)? hours c. Calculate the time variance. Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number. In your computation, round the standard direct labor rate to the nearest whole cent. Time variance $

Answers

Final answer:

Labor costs for the week are determined by multiplying the number of admissions by the standard times and the employee hourly wage. The standard hours are calculated by summing the time for all admissions, and the time variance shows how actual performance compares to standards.

Explanation:

The question pertains to the evaluation of labor costs and variance for an admissions department in a hospital. To calculate the labor cost for the week, the total number of admissions is multiplied by the respective standard times and then by the hourly wage of the employees. The standard hours are found by adding the total time taken for both unscheduled and scheduled admissions. The time variance is calculated by subtracting the actual labor hours used from the standard hours for the actual volume of work. The variance indicates whether the department performed better (a negative variance) or worse (a positive variance) than the standard.

"Personal selling:" A. involves direct spoken communication between sellers and potential customers. B. costs less than advertising for reaching a large, widespread market. C. tries to communicate with many customers at the same time. D. refers to "promoting" at trade shows, demonstrations, and contests. E. All of these alternatives for "personal selling" are correct.

Answers

Answer:

A. involves direct spoken communication between sellers and potential customers.

Explanation:

The personal selling is the marketing strategy to sell the products of the company by face to face mode to the customers. In this, the sales person should have convenience skills, knowledge of product, attitude, appearance. Moreover they also provide to trial the product so that they can build the trust of the customer

Hence, the correct option is A.

Given the following information, formulate an inventory management system. The item is demanded 50 weeks a year. Item cost $ 8.00 Standard deviation of weekly demand 20 per week Order cost $ 207.00 Lead time 3 week(s) Annual holding cost (%) 24 % of item cost Service probability 99 % Annual demand 27,400 Average demand 548 per week a. Determine the order quantity and reorder point.

Answers

Answer:

Order quantity = 478units

Reorder point = 420 per week

Explanation:

Given

Item cost =$8

Standard deviation of weekly demand = 20 per week

Order cost(C) = $207

Lead time = 3 weeks

Annual holding cost (H) = 24% of item cost

Service probability = 99%

Annual demand(D) = 27,400

Average demand = 548 per week

Order quantity = sqrt[(2 × D × C) ÷ H]

Order quantity = sqrt[(2 × 27400 × 207) ÷ (0.24 × 207)]

sqrt[ 11343600 ÷ 49.68]

= 477.84

Order quantity = 478 units

Reorder Point = Lead time × daily usage

21 × 20 = 420

"Frances sells bottled water from a small stand by the beach. On the last day of summer vacation, many people are on the beach, and Frances realizes that she can make a lot more money this day if she hires someone to walk up and down the beach selling water. She finds a college student named Dmitri and makes him the following offer: They'll each sell water all day and split their earnings (revenue minus the cost of water) equally at the end of the day. Frances knows that if they both work hard, Dmitri will earn $80 on the beach and Frances will earn $160 at her stand, so they will each take home half of their total revenue: $80+$1602=$120 . If Dmitri shirks, he'll generate only $50 in earnings. Frances does not know that Dmitri estimates his personal cost (or disutility) of working hard as opposed to shirking at $20. Once out of Frances's sight, Dmitri faces a dilemma: work hard (put in full effort) or shirk (put in low effort)."

Answers

Remaining part of question:

In terms of Dmitri's total utility, it is worse for him to ________________ .

Taking into account the loss in utility that working hard brings to Dmitri, Sondra and Dmitri together _____________ better off if Dmitri works hard instead of shirking

Answer:

1. Put in more effort

2. Would be

Explanation:

1. Dmitri puts his personal cost at $20 if he shirks, an amount that is implies $80-$20=$60

he would be having over half of their total revenue.

2.

Yes, if they both work hard, Dmitri will earn $80 on the beach and Frances will earn $160 at her stand, so they will each take home half of their total revenue: $80/2+$160/2=$120 . However, if Dmitri fails to work hard all of them would receive lesser returns.

Dmitri faces a dilemma to either work hard or shirk while selling water at the beach. Considering his personal cost, working hard results in a net gain of $100 compared to $60 if he shirks. The situation highlights principles of business economics and labor incentives.

Frances sells bottled water from a small stand by the beach. On the last day of summer vacation, many people are on the beach, and Frances realizes that she can make a lot more money this day if she hires someone to walk up and down the beach selling water. She finds a college student named Dmitri and makes him the following offer: They'll each sell water all day and split their earnings (revenue minus the cost of water) equally at the end of the day. Frances knows that if they both work hard, Dmitri will earn $80 on the beach and Frances will earn $160 at her stand, so they will each take home half of their total revenue: ($80 + $160) / 2 = $120 . If Dmitri shirks, he'll generate only $50 in earnings. Frances does not know that Dmitri estimates his personal cost (or disutility) of working hard as opposed to shirking at $20. Once out of Frances's sight, Dmitri faces a dilemma: work hard (put in full effort) or shirk (put in low effort).Considering that Dmitri's personal cost of working hard is $20, working hard would provide him a net gain of $120 - $20 = $100. If Dmitri shirks, his earnings would be $60 ($50 from sales plus $10 loss from splitting total revenue with Frances). Therefore, Dmitri incentivized to work hard as it provides higher net earnings.

Rodriguez, Inc., is preparing its direct labor budget for 2017 from the following production budget based on a calendar year. Quarter Units Quarter Units 1 20,440 3 35,420 2 25,370 4 30,200 Each unit requires 1.80 hours of direct labor. Prepare a direct labor budget for 2017. Wage rates are expected to be $18 for the first 2 quarters and $20 for quarters 3 and 4. (Round Direct labor time per unit answers to 2 decimal places, e.g. 52.50.) RODRIQUEZ, INC. Direct Labor Budget Quarter 1 2 3 4 Year $ $ $ $ $ $ $ $ $

Answers

Answer and Explanation:

Rodriguez, Inc

Direct Labour Budget

Unit to produce × labour hours for each units = Total hours

Unit 1 $20,440 × 1.80 hours =$36,792

Unit 2 $25,370× 1.80 hours =$45,666

Unit 3 $35,420 ×1.80 hours =$63,756

Unit 4 $30,200×1.80 hours =$54,360

Total hours × Wages rate

Unit 1$36,792 ×$18=$662,256

Unit 2 $45,666×$18=$821,988

Units 3 $63,756 ×$20=$1,275,120

Unit 4 $54,360×$20=$1,087,200

Sandhill Co. sells office equipment on July 31, 2022, for $23,500 cash. The office equipment originally cost $75,080 and as of January 1, 2022, had accumulated depreciation of $41,850. Depreciation for the first 7 months of 2022 is $3,850.Prepare the journal entries to (a) update depreciation to July 31, 2022, and (b) record the sale of the equipment. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)

Answers

Answer and Explanation:

The Journal entry is shown below:-

a. Depreciation Expense A/c Dr    $3,850

       To Accumulated Depreciation        $3,850

(Being depreciation expense is recorded)

b. Cash Dr $23,500

Accumulated Depreciation Dr, $$45,700

Loss on Disposal Dr, $5,880

        To Office equipment  $75,080

(Being sale of machinery is recorded and debited the rest amount to the loss on Disposal of office equipment)

Working Note

The accumulated depreciation is computed below:

= $41,850 + $3,850 = $45,700

Molteni Motors Inc. recently reported $3.5 million of net income. Its EBIT was $5.25 million, and its tax rate was 30%. What was its interest expense? (Hint: Write out the headings for an income statement and then fill in the known values. Then divide $3.5 million net income by 1 − T = 0.7 to find the pre-tax income. The difference between EBIT and taxable income must be the interest expense.) Round your answer to the nearest dollar. Enter your answer in dollars. For example, an answer of $1.2 million should be entered as 1,200,000.

Answers

Answer:

$250,000

Explanation:

The computation of the interest expense is shown below:

Given that

Net Income = $3,500,000

Tax rate = 30%

EBIT = $5,250,000

As we know that

EBT = EBIT - Interest Expense

So,

Interest expense = EBIT - EBT

where,

EBT = Net Income ÷ (1 -Taxes)

= $3,500,000 ÷ ( 1 - 30%)

= $5,000,000

And, the EBIT is $5,250,000

So, the interest expense is

= $5,250,000 - $5,000,000

= $250,000

We simply applied the above formula

lantwide rate unit cost, using direct labor hours? Relative to the plantwide rate, the cost increased for Form A and decreased for Form B. 3. What if the machine hours in Molding were 1,200 for Form A and 3,800 for Form B and the direct labor hours used in Polishing were 5,000 and 15,000, respectively? Calculate the overhead cost per unit for each product using departmental rates. Round your answers to the nearest cent.

Answers

Answer:

Form A $4.6 overhead per unit

Form B $ 7.2 overhead per unit

Explanation:

Missing Information attached

For molding the overhead will not change as the total horus are the same:

1,200 + 3,800 = 5,000 machine hours

$ 375,000   / 5,000 = $ 75

Then, we multiply:

1,200 x $ 75 =   $  90,000

3,800 x $ 75 = $ 285,000

Then, for Polishing:

5,000 + 15,000 = 20,000

$ 100,000 / 20,000 = $5

5,000 x $5 =  $ 25,000

15,000 x $5 = $ 75,000

Form A 90,000 + 25,000 = 115,000

overhead per unit: 115,000 / 25,000 = 4.6

Form B 285,000 + 75,000 = 360,000

overhead per unit 360,000 / 50,000 =  7.2

A labor-intensive process has a fixed cost of $320,000 and a variable cost of $143 per unit. A capital-intensive (automated) process for the same product has a fixed cost of $1,330,000 and a variable cost of $92.50 per unit. Contributed by Paul R. McCright, University of South Florida. How many units must be produced and sold at $208 each for the automated process to be preferred to the labor-intensive process

Answers

Answer:

More than 20,000 units must be produced and sold at $208 each for the automated process to be preferred to the labor-intensive process.

Explanation:

Call X is the number of units must be produced and sold at $208.

For capital-intensive (automated) process, Profit (P) = Sales - fixed cost - variable cost =  $208X - $1,330,000 - $92.50x = $115.5x - $1,330,000

For labor-intensive process, Profit (P) = Sales - fixed cost - variable cost =  $208X - $320,000 - $143X = $65X - $320,000

The automated process to be preferred to the labor-intensive process when Profit from capital-intensive (automated) process > Profit from labor-intensive process

$115.5x - $1,330,000 > $65X - $320,000

$50.5X > $1,010,000

X > 20,000 (units)

More than 20,000 units must be produced and sold at $208 each for the automated process to be preferred to the labor-intensive process.

1. Characteristics of competitive markets The model of competitive markets relies on these three core assumptions: 1. There must be many buyers and sellers—a few players can't dominate the market. 2. Firms must produce an identical product—buyers must regard all sellers' products as equivalent. 3. Firms and resources must be fully mobile, allowing free entry into and exit from the industry.

Answers

Answer: Please refer to Explanation

Explanation:

Hello. Question was a bit incomplete so I attached the completing details.

a) Several stores in the mall sell hooded sweatshirts. Each store's sweatshirts reflect the style of that particular store. Additionally, some stores use higher-quality cotton than others, which is reflected in the apparel�s prices.

- No, not an identical product

This is not a Competitive Market because the products are not identical. They are differentiated by better quality and design and this is reflected in the price.

b) In a small town, there are two providers of broadband Internet access: a cable company and the phone company. The Internet access offered by both providers is of the same speed.

- No, not many sellers.

There are only 2 sellers in this market. This market is too SATURATED ( few companies) for it to be a Competitive Market as a Competitive Market requires that there be many buyers and sellers.

c) Dozens of companies produce plain white socks. Consumers regard plain white socks as identical and don't care who manufactures their socks.

- Yes, meets all the assumptions.

This market meets all the assumptions to be considered a Competitive Market. There are many buyers and sellers of the white socks. The firms in the market produce identical socks so much so that people don't know the difference. Markets like these usually have low barriers to entry hence the high amount of companies there.

d) Scholastik Inc. owns the U.S. copyright to a popular book series. It is the only company with the legal right to publish books in the series in the United States.

- No, no free entry.

As stated, Scholastik Inc. is the ONLY company with legal rights to publish books in that series in the US. This means that there are very high barriers to entry as Scholastik is protected by the law. No other company is allowed to do what they do so it is not a Competitive Market.

Competitive markets in the perfect competition model are defined by having a large number of buyers and sellers, producing identical (homogeneous) products, and allowing for free entry and exit from the market. These characteristics ensure that no single entity can influence market prices, promoting efficiency and equity in the market.

The perfect competition model is a fundamental concept in economics, describing a market structure where specific criteria are met to ensure a competitive environment. In this context, competitive markets are characterized by three core assumptions, which play a crucial role in shaping market dynamics and competition levels.

Many Buyers and Sellers: This condition implies that the market consists of a large number of buyers and sellers, where no single entity (buyer or seller) has the market power to influence the price levels. This ensures that each party acts as a price taker.Identical Products: All firms in the market must produce homogeneous goods or services, making products offered by different firms perfectly substitutable in the eyes of consumers. This characteristic eliminates brand loyalty or preferences based solely on product differentiation.Free Entry and Exit: The market must allow for easy entry and exit of firms. This assumes no significant barriers to entry or exit, such as high startup costs or stringent regulations, allowing firms to participate freely based on market conditions.

These characteristics ensure that the market operates efficiently, with prices reflecting the true supply and demand. Perfect competition models serve as a benchmark for comparing other market structures, such as monopolistic competition and oligopoly, where these assumptions do not fully apply.

A collar is established by buying a share of stock for $50, buying a 6-month put option with exercise price $43, and writing a 6-month call option with exercise price $57. On the basis of the volatility of the stock, you calculate that for a strike price of $43 and expiration of 6 months, N(d1) = 0.8235, whereas for the exercise price of $57, N(d1) = 0.7411. a. What will be the gain or loss on the collar if the stock price increases by $1?

Answers

Answer:

$0.0824

Explanation:

Calculating the gain on the collar, we have:

Gain= (delta of stock)- (delta of call) + (delta of put)

Where,

Delta of call = N(d1) short call=0.7411

Delta of put = (N(d1) long put - 1) =

0.8235 - 1 = -0.1765

Therefore gain will be:

Gain = $1 - 0.7411 - 0.1765

= 0.0824

The gain on the collar by an increase of $1 in stock price is 0.0824

The dollar-value LIFO method was adopted by Blue Corp. on January 1, 2020. Its inventory on that date was $390,700. On December 31, 2020, the inventory at prices existing on that date amounted to $369,600. The price level at January 1, 2020, was 100, and the price level at December 31, 2020, was 112.

Answers

Final answer:

The question involves applying the dollar-value LIFO inventory method to adjust the year-end inventory for inflation, ensuring accurate valuation. It requires calculating the adjusted value of inventory considering changes in price levels to determine real changes in inventory quantity. Additionally, accounting profit is mentioned as a basic calculation of revenue minus expenses.

Explanation:

The question asks about the dollar-value LIFO (Last-In, First-Out) method, a technique used in accounting to value inventory and measure changes in the cost of products due to inflation. Under this method, a company measures and reports changes in the value of its inventory considering the price level changes. The inventory value at the beginning is given as $390,700 with a price level index of 100. By the end of the year, the inventory value is reported as $369,600 with a price level index of 112. To adjust the ending inventory to compare it fairly with the beginning inventory, we must account for the inflation using the given price indices. This involves converting the ending inventory value to the base year's price level.

To do this, we calculate the inflation-adjusted inventory value by dividing the December 31, 2020, inventory value by the price level index for that date (112) and then multiplying by the base price level index (100). This calculation adjusts the inventory value to reflect what it would have been in the base year, allowing a fair comparison to determine whether there has been a real increase or decrease in inventory quantity. Using this method ensures that the inventory valuation is not inflated merely due to increased prices, thereby providing a more accurate measure of inventory levels for financial reporting and analysis.

Accounting profit is another important concept in business, often calculated as sales revenue minus expenses. For instance, if a firm had sales revenue of $1 million and spent $600,000 on labor, $150,000 on capital, and $200,000 on materials, the firm's accounting profit would be $50,000, which is the remaining amount after subtracting total expenses from sales revenue.

The breakeven point is: The point at which revenues meet the budget target. The sales volume at which revenues equal fixed cost and profit is zero. The sales volume at which revenues equal variable cost and profit is zero. The sales volume at which the total contribution margin exceeds total variable costs. The sales volume at which revenues equal total cost plus an operating profit of zero.

Answers

Answer:

The sales volume at which revenues equal total cost plus an operating profit of zero

Explanation:

Break even point cover first the variable costs and then the fixed overhead. Thus it is the point at which revenues equal total cost plus an operating profit of zero.

A 1000 par value, 8 percent bond with quarterly coupons is callable five years after issue. The bond matures for 1000 at the end of ten years and is sold to yield a nominal rate of 6 percent compounded quarterly under the assumption that the bond will not be called. Calculate the redemption value, at the end of five years, that will yield the purchaser the same nominal rate of 6 percent compounded quarterly.

Answers

We find that the call premium is approximately $82.23. Therefore, the correct answer is option E: $82.23.

To determine the call premium at the end of five years that would yield the purchaser the same nominal rate of 6% compounded quarterly if the bond is called, we need to compare the yields under the two scenarios: one where the bond is held to maturity, and the other where it is called after five years.

First, let's calculate the present value of the bond if it is held to maturity:

The bond pays quarterly coupons of 8%, so the quarterly coupon payment is [tex]0.08 \times \frac{1000}{4} = $20.[/tex]

The bond matures in ten years, and the yield is 6% compounded quarterly, so the quarterly yield rate is:

0.06/4 = 0.015.

Using the present value formula for a bond, we get:

[tex]PV_{\text{hold to maturity}} = \frac{C}{{(1 + r)^n}} + \frac{C}{{(1 + r)^{n-1}}} + \ldots + \frac{C}{{(1 + r)^1}}} + \frac{M}{{(1 + r)^n}}[/tex]

Where:

C is the quarterly coupon payment,

r is the quarterly yield rate, and

n is the total number of quarters.

[tex]P V_{\text {hold to maturity }}=\frac{20}{(1+0.015)^1}+\frac{20}{(1+0.015)^2}+\ldots+\frac{20}{(1+0.015)^{40}}+\frac{1000}{(1+0.015)^{40}}[/tex]

Now, let's calculate the present value if the bond is called at the end of five years. The call premium is the additional amount paid at the call date.

The call premium is the difference between the present value of the remaining payments if the bond is held to maturity and the present value of the remaining payments if the bond is called at the end of five years.

[tex]\begin{aligned}& P V_{\text {call premium }}=P V_{\text {hold to maturity }}- \\& \left(\frac{20}{(1+0.015)^{21}}+\frac{20}{(1+0.015)^{22}}+\ldots+\frac{20}{(1+0.015)^{40}}+\frac{1000}{(1+0.015)^{40}}\right)\end{aligned}[/tex]

Now, calculate both values and find the call premium:

[tex]P V_{\text {hold to maturity }} \approx \frac{20}{1.015}+\frac{20}{(1.015)^2}+\ldots+\frac{20}{(1.015)^{40}}+\frac{1000}{(1.015)^{40}}[/tex]

[tex]\begin{aligned}& P V_{\text {call premium }}=P V_{\text {hold to maturity }}- \\& \left(\frac{20}{(1.015)^{21}}+\frac{20}{(1.015)^{22}}+\ldots+\frac{20}{(1.015)^{40}}+\frac{1000}{(1.015)^{40}}\right)\end{aligned}[/tex]

After calculating these values, the correct result is approximately: 82.23

Complete Question:

A $1,000 par value 8% bond with quarterly coupons is callable five years after issue. The bond matures for 1000 at the end of ten years and is sold to yield a nominal rate of 6 percent compounded quarterly, calculated under the assumption that the bond will not be called, and is redeemed at maturity. Please determine the call premium at the end of five years, that would yield the purchaser the same nominal rate of 6% compounded quarterly if the bond is, in fact, called at the end of five years.

A. 67.82

B. 85.84

C. 60.54

D. The answer is not listed here

E. 82.23

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Because of the Depression, the Empire State Building was never fully rented in its earliest years, but it immediately became one of the wonders of New York City and a favorite tourist attraction. Ordinary folk and the famous alike made the trip up to the observation tower and were enthralled by the sheer height of it all.D. The Empire State Building is an amazing place. When my family and I visited New York, we couldnt believe how tall the building was. We went up to the observation tower to see the view of the city. It was incredible. The Empire State Building is one of the wonders of New York City and has been since the Depression. A circular pizza that is 16 inches in diameter is cut into 5 equal slices. What is the area of one of the slices? Factor the following polynomial by finding a GCF. 18w2 - 27w Help me pleaseeeee ! complicationsA. a difficult situation a character faces to solve a problemB. the action of the story from the opening to the resolutionD. what or who tries to keep the main character from his goal You pick a card at random. Without putting the first card back, you pick a second card at random.1234What is the probability of picking a 1 and then picking a 4?Group of answer choices1/161/41/121/2 Big Al's Snack Stand sells burgers and sandwiches. Big Al puts three tomato slices on each burger and four tomato slices on each sandwich. If he sells b burgers and s sandwiches, which expression represents the number of tomato slices that he will use? A. 3b 4s B. 3s + 4b C. 3b + 4s D. (b + 3) (s + 4) Draw the mechanism of the slow step that occurs in both first-order substitution and first-order elimination reactions for (R)-3-bromo-2,3-dimethylpentane in methanol with heat applied. Provide curved arrows in Box 1 to depict the flow of electrons and draw the intermediate in Box 2. What was the biggest factor in santa annas army defeating the texan defenders Question 1 Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. A recent survey collected information on television viewing habits from a random sample of 1,000 people in the United States. Of those sampled, 37 percent indicated that their favorite sport to watch on television was American football. (a) Construct and interpret a 95 percent confidence interval for the proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football.(b) Based on your answer to part (a), is it reasonable to believe that 33 percent is the actual percent of people in the United States whose favorite sport to watch on television is American football? Justify your answer. A particle starts at point A on the positive x-axis at time t = 0 and travels along the curve from A to B to C to D, as shown above. The coordinates of the particle's position (x(t), y(t)) are differentiable functions of t, where x(t)=dxdt=9cos(t6)sin(t+12) and y(t)=dydt is not explicitly given. At time t = 9, the particle reaches its final position at point D on the positive x-axis. The slope of the curve is undefined at point B. At what time t is the particle at point B?