The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p dollars per pound is Q = f(p). (a) What is the meaning of the derivative f '(5)? The rate of change of the price per pound with respect to the quantity of coffee sold. The supply of coffee needed to be sold to charge $5 per pound. The rate of change of the quantity of coffee sold with respect to the price per pound when the price is $5 per pound. The rate of change of the price per pound with respect to the quantity of coffee sold when the price is $5 per pound. The price of the coffee as a function of the supply. What are the units of f '(5)? dollars dollars/pound pounds/(dollars/pound) pounds dollars/(pound/pound) pounds/dollar

Answers

Answer 1
The rate of change of the quantity of coffee sold with respect to the price per pound when the price is $5 per pound.The units of f '(5) are: pounds/(dollars/pound).

(a) When the price is $5 per pound, the derivative f '(5) shows the rate of change in the quantity of coffee sold in relation to the price per pound.

In other words, it explains how, when the price is $5 per pound, the amount of coffee sold will alter in reaction to a little change in price.

If f '(5) is positive, then a rise in price will result in a greater sale of coffee; if it is negative, then an increase in price will result in a smaller sale of coffee.

(b) Pounds/(dollars/pound) are the units of f '(5). By dissecting the units, it can be seen that f'(5) indicates the change in quantity (in pounds) divided by the change in price (in dollars per pound).

The units are therefore pounds divided by (dollars per pound), which can be written as pounds/(dollars/pound).

Thus, this unit indicates the change in the amount of coffee sold in response to a change in the price per pound of one unit, which is precisely what the derivative measures.

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Related Questions

Super Motors manufactures and sells a wide variety of motors to industrial customers. All motors cost about the same and are assembled on the same line. Switching over from assembling one motor to another requires about two hours. Super assembles motors to be stocked in a distribution center from where they are shipped as orders arrive. HP is the highest-selling motor (in terms of units sold) and LP the lowest selling. Which of the following statements about the average cycle inventory HP motors is TRUE?

A. Higher than the cycle inventory of LP motors.

B. Lower than the cycle inventory of LP motors.

C. Same as the cycle inventory of LP motors.

D. None of the above.

Answers

Answer:

A. Higher than the cycle inventory of LP motors.

Explanation:

Given that:

HP is the highest-selling motor (in terms of units sold) and LP the lowest selling.

The average cycle stock is about half-a-period's demand less the target cycle stock. Thus, the average cycle inventory is half of the order size. The order size is directly proportional to the square root of demand,R. This implies that the average cycle inventory is proportional to the square root of the demand, R. Since, R, the demand is high for HP, the order size also becomes more which in turns leads to the average cycle inventory being more. Therefore, the average cycle inventory of HP motors is higher than the cycle inventory of LP motors.

A firm is considering whether to introduce a new product. No other firms are considering producing the product. The product costs F to introduce and can be produced at zero marginal cost once the firm has spent F. If the firm introduces the product, it must charge the same per-unit price to all customers. The demand for the product is D(p) = 10 - p where p is price.

a.(10 pts) Are there values of F such that the firm would not introduce the product even though it would be socially optimal to have the product produced? If not, explain. If so, what are the values of F such that the firm does not introduce the product when a social planner would?

b.(10 pts) Consider the following extension of the problem. Suppose that the buyer is a single customer, e.g., a big downstream producer that earns surplus by selling in a final market (although you do not need to analyze activities in the final market to answer this question). Suppose the seller can charge the buyer a fixed fee K in addition to a per unit price p. In this case, are there values of the fixed cost F such that the seller will fail to introduce the product when it would be socially optimal to do so? Explain your answer with reference to the concepts of "business stealing" and "incomplete appropriation."

Answers

Answer:

Explanation:

a. Should in case the firm decides to introduce the new product, the total cost sum of variable and fixed cost if F, the variable cost is zero.

The firm could get a total revenue expressed as TR=P*Q=(10-Q)*Q=10Q-Q^2. The marginal revenue is 10-2Q. The marginal cost is 0. Thus, social optimal quantity can be calculated by equating marginal revenue to marginal cost.

MR=MC

10-2Q=0

2Q=10

Q*=5

Hence, the socially optimal quantity is 5.

However, if fixed cost is high enough such that the total profit for the firm is less than zero, the firm will not introduce the product in the market.

Total Profit=Total Revenue-Total cost

=(10-5)*5-F

=25-F

if F>25 then the firm will earn a negative profit, therefore, it will not introduce the product in the market.

B)

The negative effect created on the demand of competitor's goods when the firm changes its price strategy is referred to as business stealing.

If the firm chooses to introduce the new product the total cost sum of variable and fixed cost if F as variable cost is zero. The Total revenue the firm could get is TR=P*Q+K=(10-Q)*Q+K=10Q-Q^2+K. The marginal revenue is 10-2Q. The marginal cost is 0. Therefore socially optimal quantity can be calculated by equating marginal revenue to marginal cost.

MR=MC

10-2Q=0

2Q=10

Q*=5

Therefore, the socially optimal quantity is 5.

However, if fixed cost is high enough such that the total profit for the firm is less than zero, the firm will not introduce the product in the market.

Total Profit=Total Revenue - Total cost

= (10-5)*5+K-F

Total Profit = 25 + K - F

The firm will earn a negative profit if F > 25 + K, thus, it will not introduce the product in the market.

Now if the Fixed cost lies between 25 and 25+K, it will be beneficial for the firm to introduce the product. But the amount the per-unit price buyer has to pay will be P + K/Q.

A manager is holding a $1.2 million stock portfolio with a beta of 1.01. She would like to hedge the risk of the portfolio using the S&P 500 stock index futures contract. How many dollars’ worth of the index should she sell in the futures market to minimize the volatility of her position? (Enter your answer in dollar not in millions.)

Answers

Answer: $1,212,000 or $1.212 million

Explanation:

To calculate the dollars’ worth of the index the manager should sell in the futures market to minimize the volatility of her position, we can use the following formula,

Dollar worth of index to sell = Value of the Portfolio * Portfolio Beta

Dollar worth of index to sell = 1,200,000 * 1.01

Dollar worth of index to sell = $1,212,000

The manager should sell $1,212,000 worth of the index in the futures market to minimize the volatility of her position.

Helen Martin is looking to invest in a three-year bond that makes semi-annual coupon payments at a rate of 5.775 percent. If these bonds have a market price of $981.68, what yield to maturity can she expect to earn? (Round intermediate calculations to 5 decimal places, e.g. 1.25145 and final answer to 2 decimal places, e.g. 15.25%.)

Answers

Answer:

The yield to maturity is 6.46% annually

Explanation:

The yield to maturity on the bond can be computed using the rate formula in excel as given below:

=rate(nper,pmt,-pv,fv)

nper is the number of interest payments the bond would make which is 3*2=6

pmt is the semi-annual interest payment of the bond which is 5.775%/2*$1000=$28.88

pv is the current market price of the bond at $981.68

fv is the face value of the bond at $1000

=rate(6,28.88,-981.68,1000)

rate=3.23% semi-annually

rate=6.46%(3.23%*2) annually

Vaughn Manufacturing has two divisions; Sporting Goods and Sports Gear. The sales mix is 75% for Sporting Goods and 25% for Sports Gear. Vaughn incurs $6890000 in fixed costs. The contribution margin ratio for Sporting Goods is 30%, while for Sports Gear it is 50%. The weighted-average contribution margin ratio is 70%. 35%. 40%. 45%.

Answers

Answer:

The correct answer is 35%.

Explanation:

According to the scenario, the computation of the given data are as follows:

We can calculate the Weighted average contribution margin ratio by using following formula:

weighted-average contribution margin ratio =  (Contribution margin ratio × Sales of sporting goods) + (Contribution margin ratio × Sales of sporting gears)

= ( 30 × 75% ) + ( 50 × 25%)

= 22.5% + 12.5%

= 35%

Rufus owns 12 acres of land he purchased as an investment for $5,390. He spent an additional $34,570 subdividing the land into residential parcels and having utility lines run to the property. After the subdividing and utility lines had been completed, he gifted two acres of the land to his sister as a wedding present.
The cost of subdividing the land is added to the initial cost of the 12acres resulting in a basis of $42,000. The basis of the 2 acres gifted to his sister, $7,000 [($42,000 ÷ 12 = $3,500) x 2] reduces the adjustedbasis in the 10 remaining acres to $35,000.

Original cost $5,000
Additional costs for subdividing 37,000
subdividing37,000Basis before gift $42,000
Gift of two acres ($42,000 ÷ 12 = $3,500 x 2) (7,000)
Adjusted basis of ten acres $35,000

Answers

Answer:

Adjusted basis of the 2 plots is $7000

Explanation:

The correct question is as follows;

Determine the Adjusted basis

Rufus owns 12 acres of land he purchased as an investment for $5,000. He spent an additional $37,000 subdividing the land into residential parcels and having utility

lines run to the property. After the subdividing and utility lines had been completed, he gifted two acres of the land to his sister as a wedding present.

Solution

In this question, we are to determine the adjusted basis of land

Please check attachment for table

Kindly note that the basics of 1 acre of land before gifting is $3,500 ($42,000/12). This means the basis of gifted property of two acres is $7000($3,500 * 2)

Answer:

$33,300

Explanation:

The cost of subdividing the land is added to the initial cost of the 12 acres resulting in a basis of $39,960.

The basis of the 2 acres gifted to his sister is therefore:

$6,660 [($39,960÷ 12 = $3,330) x 2]

Thus : reduces the adjusted basis in the 10 remaining acres to $33,300.

Original cost $5,390

Additional costs for subdividing $34,570

Basis before gift $39,960

($34,570+$5,390)

Gift of two acre ($39,960 ÷ 12 = $3,330 x2) (6,660)

Adjusted basis of ten acres $33,300

A project is expected to generate annual revenues of $124,100, with variable costs of $77,200, and fixed costs of $17,700. The annual depreciation is $4,250 and the tax rate is 34 percent. What is the annual operating cash flow?

Answers

Answer:

$20,717

Explanation:

The calculation of annual operating cash flow is given below:-

Annual Operating cash flow = (Revenue - Variable cost - Fixed cost) × (1 - Tax rate) + Annual depreciation × Tax rate

= ($124,100 - $77,200 - $17,700) × (1 - 34%) + $4,250 × 34%

= $29,200 × 0.66 + $1,445

= $19,272 + $1,445

= $20,717

So, for computing the operating cash flow we simply applied the above formula.

Suppose there are two independent economic factors, M1 and M2. The risk-free rate is 5%, and all stocks have independent firm-specific components with a standard deviation of 40%. Portfolios A and B are both well diversified. Portfolio Beta on M1 Beta on M2 Expected Return (%) A 1.8 2.2 30 B 2.1 -0.5 8 What is the expected return–beta relationship in this economy?

Answers

Answer:

Explanation:

The picture attached shows the solution to the problem

Question 1 (8 points) Ocean City Kite Company manufactures & sells kites for $7.50 each. The variable cost per kite is $3.50 with the current annual sales volume of 55,000 kites. This volume is currently Ocean City Kite's breaking even point. Use this information to determine the dollar amount of Ocean City Kite Company's fixed costs. (Round dollar value to the nearest whole dollar & enter as whole dollars only.)

Answers

Answer:

The correct answer is $220,000.

Explanation:

According to the scenario, computation of the given data are as follows:

Selling price = $7.5

Variable cost = $3.5

Annual sales = 55,000 kites

We can calculate the fixed cost by using following formula:

Fixed cost = Annual sales × ( Selling price - Variable cost )

Fixed cost = 55,000 × ( $7.5 - $3.5 )

= 55,000 × $4

= $220,000

Pratte Boat Wash's cost formula for its cleaning equipment and supplies is $2,500 per month plus $48 per boat. For the month of April, the company planned for activity of 55 boats, but the actual level of activity was 13 boats. The actual cleaning equipment and supplies for the month was $3,250. The activity variance for cleaning equipment and supplies in April would be closest to: Multiple Choice $2,016 F $1,890 U

Answers

Answer: $2,016

Explanation:

Spending variance is known as the difference between the actual and budgeted amount of a project or good.

When the actual amount exceeds the budgeted amount then the variance is known as UNFAVOURABLE. When it is below the budgeted amount it is FAVOURABLE.

Now, the Actual activity on cleaning equipment and supplies in April was 13 boats.

The Budgeted Activity was 55 boats will be calculated thus,

To calculate the variance therefore, we subtract the cost of making the budgeted activity from the actual one.

Activity Variance = (2,500 + ( 13 boats * 48)) - (2,500 + ( 55 boats * 48 ))

= 3,124 - 5,140

= $2,016

Because the budgeted activity was higher than the actual one, it is FAVOURABLE. Hence the Activity Budget for April was $2,016 Favourable.

If the government institutes an effective price ceiling on potato chips, then there will be a decrease in demand for and an increase in supply of potato chips. decrease in supply of potato chips. decrease in quantity supplied of potato chips. decrease in demand for potato chips. decrease in quantity demanded for potato chips.

Answers

Final answer:

An effective price ceiling on potato chips would lead to an increase in quantity demanded and a decrease in quantity supplied, resulting in a shortage. This is because the imposed price is below the market equilibrium, encouraging more consumers to buy and discouraging producers from selling.

Explanation:

When a government institutes an effective price ceiling on a product like potato chips, it sets a maximum price for the product that is below the market equilibrium. This results in an increase in quantity demanded for potato chips because consumers are more willing to purchase the product at the lower price. However, there is a decrease in quantity supplied, as producers are less inclined to sell their product at this lower price. These dynamics do not decrease the demand for potato chips, but rather they lead to a shortage as the quantity demanded at this lower price exceeds the quantity supplied.

The correct answer to the student's question is that there would be a decrease in quantity supplied of potato chips, not a decrease in demand. The supply curve moves upwards (or to the left) due to the price ceiling, indicating a decrease in quantity supplied at each and every price level below the equilibrium.

The long-run supply curve for a product is horizontal with ATC = 200. Market demand is defined as P = 1,000 − 4 Q. The market is competitive and is in long-run equilibrium with 50 firms in the industry. If demand increases to P = 1,240 − 4 Q, how many firms will be in the industry at the new long-run equilibrium?

Answers

Answer:

65 firms will be in the industry at the new long run equilibrium

Explanation:

in the long run the P=ATC

quantity before the change is

200 = 1000-4Q

4Q = 800

Q= 200

each firm output = Q/number of firms = 200 / 50

q = 4

new quantity is

200 = 1240-4Q

4Q = 1040

Q = 260

number of firms=new Q/q

=260/4 = 65

the number of firms is 65 in the long run.

The U.S. money supply (M1) at the beginning of 2015 was​ $2,683.3 billion broken down as​ follows: $1,165.7 billion in​ currency, $3.5 billion in​ traveler's checks, and​ $1,514.1 billion in checking deposits. Suppose the Fed decided to increase the money supply by decreasing the reserve requirement from 11 percent to 10 percent. Assume all banks were initially loaned up​ (had no excess​ reserves) and the quantity of currency and​ traveler's checks held outside of banks did not change. How large a change in the money supply would have resulted from the change in the reserve​ requirement? The money supply would change by ​$ nothing billion. ​(Round your response to two decimal places and include a minus sign if necessary.​)

Answers

Answer:

The money supply would change by $168.21 billion.

Explanation:

Checking deposits = $1,514.1 billion

Reserve requirement = 10% or 0.10

Required reserves = $1,514.1 billion * 0.10 = $151.41 billion

Now, reserve requirement has decreased to 9%

New required reserves = $1,514.1 billion * 0.09 = $136.27 billion

Excess reserves created = Old required reserves - new required reserves

Excess reserves created = $151.41 billion - $136.27 billion = $15.14 billion

The excess reserves created is $15.14 billion

Calculate the new money multiplier -

New money multiplier = 1/New reserve requirement = 1/0.09 = 11.11

The new money multiplier is 11.11

Calculate the change in money supply -

Change in money supply = Excess reserves created * New money multiplier

Change in money supply = $15.14 billion * 11.11 = $168.21 billion

Thus,

The money supply would change by $168.21 billion.

Final answer:

The decrease in the reserve requirement from 11% to 10% would result in a potential increase in the money supply by approximately $151.41 billion, assuming all other factors remain constant and banks utilize the full potential of the increased money multiplier.

Explanation:

To calculate the change in the money supply resulting from a decrease in the reserve requirement, we employ the concept of the money multiplier. This is the inverse of the reserve ratio and tells us how much the money supply can potentially expand with each dollar of reserves. When the Fed decreases the reserve requirement ratio from 11% to 10%, the new money multiplier will be 1 divided by 0.10, which equals 10.

Given that all banks were initially loaned up (they didn't hold excess reserves), the full potential of the money multiplier can be utilized. The change in reserves is the amount of checking deposits times the change in the reserve requirement, which is $1,514.1 billion times (0.11 - 0.10) = $15.141 billion in new reserves.

With the new multiplier of 10, the change in money supply is the change in reserves times the multiplier, which is $15.141 billion × 10 = $151.41 billion.

Therefore, the total money supply would increase by approximately $151.41 billion.

Security Technology Inc. (STI) is a manufacturer of an electronic control system used in the manufacture of certain special-duty auto transmissions used primarily for police and military applications. The part sells for $42 per unit and had sales of 24,650 units in the current year, 2018. STI has no inventory on hand at the beginning of 2018 and is projecting sales of 27,950 units in 2019. STI is planning the same production level for 2019 as in 2018, 26,300 units. The variable manufacturing costs for STI are $13, and the variable selling costs are only $0.40 per unit. The fixed manufacturing costs are $184,100 per year, and the fixed selling costs are $630 per year.1. Prepare an income statement for 2012 and 2013 using full costing.2. Prepare an income statement for 2012 and 2013 using variable costing.3. Prepare a reconciliation and explanation of the difference each year in the operating income resulting from the full- and variable-costing methods.

Answers

Answer:

Prepare an income statement for 2012 and 2013 using full costing.

                                                                                   2012                       2013

Sales                                                                       1,035,300              1,173,900

Less Cost of Sales                                                  (493,000)             (559,600)

Opening Stock                                                             0                         33,600

Add Manufacturing Cost ($20×26,300)                 526,000               526,000

Less Closing Stock                                                  ( 33,000)                    0

Gross Profit                                                               542,300               614,300

Less Expenses :

Fixed selling costs                                                        (630)                     (630)

Variable selling costs                                                (9,860)                  ( 11,180)

Net Income                                                                531,810                 602,490

                                   

Prepare an income statement for 2012 and 2013 using variable costing.

                                                                                   2012                       2013

Sales                                                                       1,035,300              1,173,900

Less Cost of Sales                                                  (320,450)             (363,350)

Opening Stock                                                             0                         21,450

Add Manufacturing Cost ($13×26,300)                  341,900                341,900

Less Closing Stock                                                  ( 21,450)                    0

Contribution                                                             714,850                 810,550

Less Expenses :

Fixed manufacturing costs                                      (184,100)               (184,100)

Fixed selling costs                                                        (630)                     (630)

Variable selling costs                                                (9,860)                  ( 11,180)

Net Income                                                               520,260                614,640

Reconciliation of Full Costing Profit to Variable Costing Profit

                                                                                      2012                      2013

Full Costing Profit                                                      531,810                602,490

Add Opening Stock                                                      0                         33,000

Less Closing Stock                                                    (33,000)                    0

Variable Costing Profit                                              498,810                635,490

Explanation:

Full Costing Product Cost = Direct Material + Direct Labor + Variable Overheads + Fixed Overheads

                                             = $13+($184,100/26,300 units)

                                             = $20

Prepare an income statement for 2012 and 2013 using full costing.

                                                                                   2012                       2013

Sales                                                                       1,035,300              1,173,900

Less Cost of Sales                                                  (493,000)             (559,600)

Opening Stock                                                             0                         33,600

Add Manufacturing Cost ($20×26,300)                 526,000               526,000

Less Closing Stock                                                  ( 33,000)                    0

Gross Profit                                                               542,300               614,300

Less Expenses :

Fixed selling costs                                                        (630)                     (630)

Variable selling costs                                                (9,860)                  ( 11,180)

Net Income                                                                531,810                 602,490

Variable Costing Product Cost = Direct Material + Direct Labor + Variable Overheads

                                                     = $13

                                   

Prepare an income statement for 2012 and 2013 using variable costing.

                                                                                   2012                       2013

Sales                                                                       1,035,300              1,173,900

Less Cost of Sales                                                  (320,450)             (363,350)

Opening Stock                                                             0                         21,450

Add Manufacturing Cost ($13×26,300)                  341,900                341,900

Less Closing Stock                                                  ( 21,450)                    0

Contribution                                                             714,850                 810,550

Less Expenses :

Fixed manufacturing costs                                      (184,100)               (184,100)

Fixed selling costs                                                        (630)                     (630)

Variable selling costs                                                (9,860)                  ( 11,180)

Net Income                                                               520,260                614,640

Reconciliation of Full Costing Profit to Variable Costing Profit

                                                                                      2012                      2013

Full Costing Profit                                                      531,810                602,490

Add Opening Stock                                                      0                         33,000

Less Closing Stock                                                    (33,000)                    0

Variable Costing Profit                                              498,810                635,490

Becky Smith signed a note in the amount of $200,000 in favor of Country Home Loans, Inc., to obtain a loan to buy a house in Marrero, Louisiana. The note was endorsed "Pay to the order of ____________ without recourse Country Home Loans, Inc." Almost five years later Smith defaulted on the payments. The Federal National Mortgage Association (Fannie Mae) wanted to foreclose on the house and sell it to recover the balance due. Smith argued that the words "to the order of ____________" in the endorsement made the note an incomplete order instrument and that Fannie Mae could not enforce it. What is Fannie Mae's best response to this argument?

Answers

Final answer:

Fannie Mae can enforce the note and foreclose on the house to recover the balance due.

Explanation:

Fannie Mae's best response to Smith's argument is that the note is not an incomplete order instrument. The words "to the order of ____________" in the endorsement indicate that the note is payable to the holder of the instrument, which includes Country Home Loans, Inc. and any subsequent transferees. This means that Fannie Mae, as a transferee of the note, has the right to enforce it and foreclose on the house to recover the balance due.

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You are doing some analysis on the has a market value that is equal to its book value. Currently, the firm has excess cash of $1,000 million and other assets of $9,000 million. Equity is worth $10,000 million. The firm has 700 million shares of stock outstanding and net income of $1,575 million. What will the new earnings per share be if the firm uses 25 percent of its excess cash to complete a stock repurchase?

Answers

Answer:

the new earnings per share will be 231 cents

Explanation:

Earnings per share is Earnings attributable to each Common Share.

Earnings Per Share = Earnings attributable to Holders of Common Stock/ Weighted Average Number of Common Shares

                                = $1,575 million/ (700 million-250/10000×700 million)

                                = $1,575 million/(700 million-17,2 million)

                                = 231 cents

Answer:

Earnings per share is $2.31

Explanation:

value of one share=$10,000 million/700 million=$14.29

25% of excess cash =25%*$1000 million=$250 million

Number of shares repurchased=$250 million/$14.29=17.5 million

Outstanding shares after share repurchase=700 million-17.5 million

                                                                       =682.5 million

Earnings per share =earnings attributable to common stock/number of common stock

earnings stands at $1,575 million

number of common stock 682.5 million

Earnings per share=1,575 million/682.5 million

Earnings per share=$2.31 or 231 cents

The new earnings per share is $2.31 or 231 cents as shown in the step by step analysis above.

"​Stephanie's Bridal Shoppe sells wedding dresses. The average selling price of each dress is $ 1 comma 100​, variable costs are $ 500​, and fixed costs are $ 120 comma 000. How many dresses must the Bridal Shoppe sell to yield afterminustax net income of $ 21 comma 000​, assuming the tax rate is 30​%?"

Answers

Answer:

250 dresses

Explanation:

The first task would be to compute before tax net income when after tax net income is $21,000 at the tax rate of 30%

After tax net income=before tax net income*(1-t)

t  is the tax rate of 30% or 0.30

after tax net income is $21,000

$21000=before tax net income*(1-0.3)

$21,000=0.7*before net income

before tax net income=$21,000/0.7=$30,000

Target units for before tax net income of $30,000 is computed thus:

target number of dresses=fixed cost+target profit/contribution per unit

fixed cost is $120,000

contribution per unit=sales price-variable cost

                                 =$1,100-$500=$600

target number of dresses=($120,000+$30,000)/$600=250 dresses

Final answer:

Stephanie's Bridal Shoppe needs to sell 250 dresses to achieve an after-tax net income of $21,000, considering a 30% tax rate.

Explanation:

To determine how many dresses Stephanie's Bridal Shoppe needs to sell to achieve an after-tax net income of $21,000, we first calculate the required pre-tax profit. With a tax rate of 30%, the pre-tax profit needs to be:

Pre-tax profit = After-tax income / (1 - Tax rate) = $21,000 / (1 - 0.30) = $21,000 / 0.70 = $30,000

Next, we need to find out the total revenue required to achieve this pre-tax profit, considering the fixed costs and variable costs per unit.

The formula for total profit is given by Total Revenue - Total Costs (fixed costs + variable costs).

We rearrange this formula to find Total Revenue:

Pre-tax profit = Total Revenue - (Fixed Costs + Variable Costs * Quantity)

Total Revenue = Pre-tax profit + Fixed Costs + (Variable Cost * Quantity)

Given that Fixed Costs are $120,000, Variable Cost per dress is $500, and Pre-tax profit needed is $30,000, we calculate Total Revenue needed.

To find the number of dresses needed to be sold, we divide the Total Revenue by the average selling price per dress:

Number of Dresses = (Pre-tax profit + Fixed Costs) / (Selling Price - Variable Cost)

Number of Dresses = ($30,000 + $120,000) / ($1,100 - $500) = $150,000 / $600 = 250 dresses

Therefore, Stephanie’s Bridal Shoppe must sell 250 dresses to achieve an after-tax net income of $21,000.

Seven years ago, Halle (currently age 41) contributed $4,000 to a Roth IRA account. The current value of the Roth IRA is $9,000. In the current year Halle withdraws $8,000 of the account balance to use as a down payment on her first home. Assuming Halle's marginal tax rate is 24 percent, how much of the $8,000 withdrawal will she retain after taxes to fund the down payment on her house

Answers

Answer:

$7,040 is the amount to be retained after taxes to fund the house down payment

Explanation:

In this question, we are asked to calculate the amount of withdrawal that will be retained after taxes to fund the house payment.

We proceed as follows;

Withdrawal amount = $8000

The Non taxable amount is $4000 (this is because the amount deposited is not taxed)

The amount subject to tax is $4000(contributed to the IRA)

Tax rate = 24%

Penalty rate is zero as the purpose is to buy a house

After tax withdrawal retained= 4000+ 4000*(1-24%) = $7,040

Ikerd Company applies manufacturing overhead to jobs on the basis of machine hours used. Overhead costs are estimated to total $327,080 for the year, and machine usage is estimated at 125,800 hours. For the year, $349,600 of overhead costs are incurred and 130,500 hours are used.

1. Compute the manufacturing overhead rate for the year.
2. What is the amount of under- or overapplied overhead at December 31?
3. Prepare the adjusting entry to assign the under- or overapplied overhead for the year to cost of goods sold.

Answers

Answer and Explanation:

The computation is shown below:

a. For the manufacturing overhead rate for the year

As we know that

Manufacturing overhead rate = Estimated overhead cost ÷ machine usage

= $327,080 ÷ 125,800 hours

= $2.60 per hour

b. Now the amount of under- or over applied overhead is

= Applied overhead - actual overhead

where,

Applied overhead is

= 130,500 hours × $2.60

= $339,300

And, the actual overhead is $349,600

So, the under overhead applied is $10,300

3. And, the journal entry is

Cost of goods sold $10,300

      To Manufacturing overhead $10,300

(Being the under applied overhead is recorded)  

Payments on a Jan. 1, 1995 40,000 loan are as follows: 1/1/96 5,000 1/1/97 5,000 1/1/98 5,000 On July 1, 1998 an additional 10,000 is paid on the loan and no more payments are made. If {{d}^{(4)}=0.1} how much is owed on the loan on Jan. 1, 2005?

Answers

The amount owed on the loan on Jan. 1, 2005, would be $24,750, which includes the remaining principal of $15,000 and the accrued simple interest of $9,750 over 6.5 years at a 10% annual interest rate.

To calculate how much is owed on the loan on Jan. 1, 2005, we need to account for the payments made and the compounding interest over time. Given that the loan has a decree rate {{d}^{(4)}}=0.1, we can interpret this as an effective annual interest rate of 10%. However, without clarification on how the interest compounds (annually, semi-annually, monthly, etc.), we'll assume simple interest for the sake of this example.

The initial loan is $40,000. Payments of $5,000 were made on Jan 1 of 1996, 1997, and 1998, reducing the principal by $15,000, leaving $25,000. On July 1, 1998, an additional payment of $10,000 was made, further reducing the principal to $15,000. Starting from July 1, 1998, till Jan. 1, 2005, which is 6.5 years, we need to calculate the interest accrued on the remaining $15,000.

The formula for simple interest is I = P * r * t, where I is the interest, P is the principal, r is the annual interest rate, and t is the time in years. Using this formula, we find that the interest accrued will be I = $15,000 * 0.10 * 6.5 which equals $9,750 in interest. Therefore, the amount owed on the loan on Jan. 1, 2005, is the remaining principal plus the accrued interest: $15,000 + $9,750 = $24,750.

Storico Co. just paid a dividend of $3.15 per share. The company will increase its dividend by 20 percent next year and then reduce its dividend growth rate by 5 percentage points per year until it reaches the industry average of 5 percent dividend growth, after which the company will keep a constant growth rate forever. If the required return on the company’s stock is 12 percent, what will a share of stock sell for today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answers

Answer:

The price of the stock today or the price at which the stock should sell today is $61.30

Explanation:

The price of the stock today can be calculated using the Dividend Discount Model approach which values a stock based on the present value of the expected future dividends from the stock. The price of this stock will be,

P0 = 3.15 * (1+0.2) / (1+0.12)  +  3.15  * (1+0.2) * (1+0.15)  /  (1+0.12)^2  +  

3.15 * (1+0.2) * (1+0.15) * (1+0.1) / (1+0.12)^3  +  

[(3.15 * (1+0.2) * (1+0.15) * (1+0.1) * (1+0.05) / (0.12 - 0.05))  / (1+0.12)^3]

P0 = $61.296 rounded off to $61.30

Waterway Industries incurs the following costs to produce 11800 units of a subcomponent: Direct materials $9912 Direct labor 13334 Variable overhead 14868 Fixed overhead 16200 An outside supplier has offered to sell Waterway the subcomponent for $2.85 a unit. If Waterway accepts the offer, by how much will net income increase (decrease)?

Answers

Answer:

If the company buys the subcomponent, the company will save $4,484.

Explanation:

Giving the following information:

Production= 11,800 units

Direct materials= $9,912

Direct labor= $13,334

Variable overhead= $14,868

Total variable cost= $38,114

An outside supplier has offered to sell Waterway the subcomponent for $2.85 a unit.

We have no reason to believe that the fixed costs are avoidable. Therefore, they take no part in the decision making process.

Total cost of production= 38,114

Total cost of buying= 11,800*2.85= 33,630

If the company buys the subcomponent, the company will save $4,484.

Holly took a prospective client to dinner, and after agreeing to a business deal, they went to the theater. Holly paid $350 for the meal and separately paid $226 for the theater tickets, amounts that were reasonable under the circumstances. What amount of these expenditures can Holly deduct as a business expense?

Answers

Answer: $175

Explanation:

Here we can see that the business discussion happened only at dinner.

After Dinner they went for entertainment at the Cinema so that amount is not deductible as a business Expense.

The only amount deductible is the $350 for the meal.

Meals with clients are considered to be 50% deductible so solving for that we have,

= 350 * 0.5

= $175

$175 is amount of the expenditures that Holly can deduct as a business expense.

Keynes' law is
Select all that apply:
a. the opposite of Say's law
b. the same as Say's law
c. consistent with the statement that supply creates demand
d. described by the statement that a lack of demand in the economy as a whole leads to inadequate incentives for firms to produce

Answers

Answer: A; D

Explanation: The Keynesian perspective emphasizes the importance of aggregate demand for the short run and states that demand creates its own supply. Say's law emphasizes the importance of aggregate supply, for the long run and holds holds that supply creates its own demand. As a result, Keynes' law is the direct opposite of Say's law.

Keynes argued that economy often produced less than its full potential due to a lack of demand in the economy. This lack of demand as a whole leads to inadequate incentives for firms to increase production, that is, total demand determines the level of GDP.

Keynes' law is the opposite of Say's law and is best described by the notion that a lack of demand can lead to inadequate production incentives for firms. Therefore, options a and d are correct.

Keynes' law is a key concept in macroeconomics and can be summarized as: "Demand creates its own supply." This is in contrast to Say's law, which emphasizes the idea that supply creates demand. Therefore, the statements that apply to Keynes' law are:

a. the opposite of Say's lawd. described by the statement that a lack of demand in the economy as a whole leads to inadequate incentives for firms to produce

Keynes' theory posits that during economic downturns, a lack of aggregate demand can result in underutilized resources and unemployment, thus a focus on stimulating demand is essential to encourage production and economic growth

Bo's Home Manufacturing has 410,000 shares outstanding that sell for $46.86 per share. The company has announced that it will repurchase $61,000 of its stock. What will the share price be after the repurchase?

Answers

Answer:

The correct answer is $46.86.

Explanation:

According to the scenario, the computation of the given data area as follows:

Shares outstanding = 410,000

Value per share = $46.86

So, total value of outstanding shares = 410,000 × $46.86 = $19,212,600

Repurchase share value = $61,000

So, Number of shares repurchased = $61,000 ÷ $46.86 = 1301.7 shares

So, outstanding shares = 410,000 - 1301.7 = 408,698.3 shares

So, Share price after repurchase = ($19,212,600 - $61,000) ÷ 408,698.3 shares

= $46.86

Mark owns a stamp collection that he is considering getting insured. Over the course of a year it will cost him $500 to keep his collection insured, but if he his collection is damaged they will pay him $1000. If he estimates there’s a 10% chance of his collection being damaged, what is the expected value of buying the insurance policy?: *

Answers

Answer:

EV = -$400

The expected value of buying the insurance policy is -$400

Explanation:

Expected value of buying the insurance policy;

EV = expected benefits - insurance cost

EV = xE - C

chances of collection being damaged x = 10% = 0.1

Insurance cost C = $500

Benefit E = $1000

Substituting the values;

EV = 0.1 × 1000 - 500 = 100 - 500

EV = -$400

The expected value of buying the insurance policy is -$400

Dvorak Company produces a product that requires 5 standard pounds per unit. The standard price is $2.50 per pound. If 1,000 units required 4,500 pounds, which were purchased at $3.00 per pound, what is the direct materials (a) price variance, (b) quantity variance, and (c) total direct materials cost variance? Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number. a. Direct materials price variance $ b. Direct materials quantity variance $ c. Total direct materials cost variance $

Answers

Answer:

a. Direct materials price variance $2,250

b. Direct materials quantity variance - $11,250

c. Total direct materials cost variance - $9,000

Explanation:

a. Direct materials price variance

materials price variance =(AP-SP)×AQ

                                         =($3.00-$2.50)× 4,500 pounds

                                         = $2,250

b. Direct materials quantity variance

materials quantity variance = (AQ-SQ)× SP

                                              = (4,500 pounds - 5,000 pounds)×$2.50

                                              = - $11,250

c. Total direct materials cost variance

Total direct materials cost variance=Direct materials price variance+Direct materials quantity variance

                                                          = $2,250-$11,250

                                                          = - $9,000

Artisan​ Inspiration, Inc. is a merchandiser of stone ornaments. The company sold 6 comma 500 units during the year. The company has provided the following​ information: Sales Revenue $ 571 comma 000 Purchases​ (excluding Freight​ In) 302 comma 000 Selling and Administrative Expenses 69 comma 000 Freight In 14 comma 000 Beginning Merchandise Inventory 44 comma 000 Ending Merchandise Inventory 43 comma 000 What is the operating income for the​ year?

Answers

Answer:

the operating income for the​ year is $185,000

Explanation:

Artisan​ Inspiration, Inc. Income Statement

Sales                                                                             571,000

Less Cost of Goods Sold :

Opening Stock                                       44,000

Add Purchases                302,000

Add Freight In                     14,000       316,000

Available                                               360,000

Less Closing Stock                               (43,000)         (317,000)

Gross Profit                                                                   254,000

Less Expenses :

Selling and Administrative Expenses                          (69,000)

Net Income                                                                    185,000

Prepare the journal entries to record these transactions on Blossom Company’s books using a periodic inventory system. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem.) (a) On March 2, Blossom Company purchased $860,500 of merchandise from Kingbird Company, terms 2/10, n/30. (b) On March 6, Blossom C

Answers

Answer:

(a) Purchase (Dr.) $860,000

Accounts Payable (Cr.) $860,000

Explanation:

Credit discounts are offered by suppliers to realized receivables early than the credit period by offering customers some discount. The terms of payment are decided at the time of sell. The Blossom Company has purchased from Kingbird Company on terms of 2/10, n/30. This means 2% discount will be offered on invoice price if the payment is made within 10 days. The journal entry at the time of purchase will be recorded as accounts payable for complete invoice amount and discount is not incorporated in the entry because it is not realized.

Thomas Longbow is the only employee of Presido, Inc. During the first week of January, Longbow earned $1,200.00 and had federal and state income tax withholdings of $60.00 and $22.50, respectively. FICA taxes are 7.65% on earnings up to $117,000. State and federal unemployment taxes for the period are $75.00 and $12.00, respectively. What is Presido's payroll tax expense for the week?

Answers

Answer: $178.80

Explanation:

In calculating Presido's payroll tax expense for the week, the following needs to be stated.

As the employer, Presido is not liable to pay the federal and state income tax withholdings of $60.00 and $22.50, respectively.

However they have to pay the FICA taxes of 7.65% on earnings up to $117,000 as well as the state and federal unemployment taxes for the period of $75.00 and $12.00, respectively.

So calculating we have,

= 75 + 12 + (1,200 * 7.65%)

= $178.8

Presido's payroll tax expense for the week is $178.80

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