Show that if the contribution to profit for trains is between $1.50 and $3, the current basis remains optimal. If the contribution to profit for trains is $2.50, then what would be the new optimal solution?

Answers

Answer 1

Answer:

210

Explanation:

Let us consider that x is the number of soldiers produced each week and y is number of trains produced each week.

Also, weekly revenues and costs can be expressed in terms of the decision variables x and y.

Then,

Hence the profit which we want to maximize is given by,

Now the constraints are given as,

Finishing Constraint:

Each week, no more than 100 hours of finishing time may be used.

Carpentry Constraint:

Each week, no more than 80 hours of carpentry time may be used.

Demand Constraint:

Because of limited demand, at most 40 soldiers should be produced each week.

Combining the sign restrictions and with the objective function  and constraints,and yield the following optimization model:

Such that,

First convert the given inequalities into equalities:

From equation (1):

If x=0 in equation (1) then (0,100)

If y=0 in equation (1) then (50,0)

From equation (2):

If x=0 in equation (2) then (0,80)

If y=0 in equation (2) then (80,0)

From equation (3):

Equation (3) is the line passing through the point x=40.

Therefore, the given LPP has a feasible solution first image

The optimum solution for the given LPP is obtained as follows in the second image

The optimal solution to this problem is,

And the optimum values are  .

Let c be the contribution to profit by each train. We need to find the values of c for which the current, basis remain optimal. Currently c is 2, and each iso-profit line has the form

3x +  2y = constant

y = 3x/2 +constant/ 2

And so, each iso-profit line has a slope of  .

From the graph we can see that if a change in c causes the isoprofit lines to be flatter than the carpentry constraint, then the optimal solution will change from the current optimal solution to a new optimal solution, If the profit for each train is c, the slope of each isoprofit line will be.

-3/c

Because the slope of the carpentry constraint is –1, the isoprofit lines will be flatter than the carpentry constraint.

If,

-3/c<-1

c >3

and the current basis will no longer be optimal. The new optimal solution will be point A of the graph.

If the is oprofit lines are steeper than the finishing constraint, then the optimal solution will change from point B to point C. The slope of the finishing constraint is –2.

If,

-3/c < -2 or

C < 1.5

Then the current basis is no longer optimal and point C,(40,20), will be optimal. Hence when the contribution to the profit for trains is between $1.50 and $3, the current basis remains optimal.

Again, consider the contribution to the profit for trains is $2.50, then the decision variables remain the same since the contribution to the profit for trains is between $1.50 and $3. And the optimal solution is given by,

z = 3× (20) + 2.5 × (60)

= 60 + 150

= 210

Show That If The Contribution To Profit For Trains Is Between $1.50 And $3, The Current Basis Remains
Show That If The Contribution To Profit For Trains Is Between $1.50 And $3, The Current Basis Remains
Answer 2
Final answer:

If the contribution to profit for trains is between $1.50 and $3, the current basis remains optimal. If it is $2.50, a new optimal solution should be pursued.

Explanation:

To show that if the contribution to profit for trains is between $1.50 and $3, the current basis remains optimal, we need to understand the concept of optimal solution and contribution to profit. In this case, an optimal solution means that the current arrangement or allocation is the most effective or efficient. The contribution to profit for trains refers to the amount of profit generated by the trains. If the contribution to profit is between $1.50 and $3, it means that the trains are generating a satisfactory level of profit, but not too high or too low. Hence, the current basis remains optimal.

However, if the contribution to profit for trains is $2.50, it suggests that the trains are generating a higher level of profit compared to the range mentioned earlier. In this case, the new optimal solution would involve optimizing the allocation of resources towards trains to maximize the profit generated at the $2.50 contribution level. This could involve increasing the number of trains, improving efficiency, or identifying additional revenue streams related to trains.


Related Questions

2. John likes coffee and cookies. The price for one cup of coffee is $1; the price for one cookie is $1. His marginal utility for coffee is 10 – x, where x is the amount of coffee. His marginal utility for cookies is 21 – 2 y, where y is the number of cookies. How many cups of coffee and units of cookies will John buy if he has only $10

Answers

Answer:

3 cups of Coffee and 7 units of cookies

Explanation:

In order to maximize his utility John will satisfy the following relationship

The Rational Spending Rule for two goods, X and Y:

MUX/PX = MUY/PY

 10 - x = 21 - 2y

  10 - 21 + 2y = x

  x = 2y - 11. ..........equation (1)

A budget line shows combinations of two goods a consumer is able to consume, given a budget constraint. Here John's constraint is $10,

we have, cups of coffee (x) + units of cookies (y) = $10

x + y = 10

We substitute X with the value of x in equation (1)

(2y - 11) + y = 10

2y +y = 10 + 11

3y = 21

y = 7.

y is the number of cookies, therefore y = 7 units

x = 2y - 11 = 2 × 7 - 11 = 14 - 11 = 3

x is the amount of coffee, therefore x = 3 cups.

If John has $10 he will 3 cups of Coffee and 7 units of cookies

Bill operates a proprietorship using the cash method of accounting, and this year he received the following: $170 in cash from a customer for services rendered this year a promise from a customer to pay $186 for services rendered this year tickets to a football game worth $215 as payment for services performed last year a check for $184 for services rendered this year that Bill forgot to cash How much income should Bill realize on Schedule C

Answers

Answer:

$569

Explanation:

Cash from a customer for services rendered $170

Tickets to a football game worth $215

Check for services rendered $184

Total $569

Therefore Bill should realized income of $569 on Schedule C because Income is realized as property is received but the promise to pay is not property (unless accompanied by a note receivable).

Randall Company manufactures chocolate bars. The following were among Randall's manufacturing costs during the current year: Wages Machine operators $ 300,000 Selling and Administrative personnel $ 75,000 Materials used Lubricant for oiling machinery $ 25,000 Cocoa, sugar, and other raw materials $ 225,000 Packaging materials $ 190,000 Randall's direct materials amounted to:

Answers

Answer:

$225,000

Explanation:

Direct materials:

Cocoa, sugar, and other raw materials $225,000

Therefore Randall's direct materials amounted to: $225,000 because the Direct materials costs include the costs of materials that can be easily and conveniently traced to products, such as the $225,000 of cocoa, sugar, and other raw materials.

While The lubricant for oiling machinery in the amount of $25,000 and the packaging materials in the amount of $190,000 would be classified as indirect materials because they are not easily and conveniently traced to products.

Answer:

$225,000 is the direct material cost

Explanation:

Direct cost is the cost of materials used in the production that is traceable to finished product such the flour used in making  a loaf of bread,the cost of the flour is  a direct material cost as the flour is traceable to the finished product-bread.

In this instance, the cocoa ,sugar and other raw materials are easily traced to the finished product-  chocolate bar,hence the cost of cocoa,sugar and other materials,$225,000 is the direct material cost

Products A and B are joint products. Product A can be sold for $1,200 at the split-off point, or processed further at a cost of $600 and then sold for $1,700. Product B can be sold for $3,000 at the split-off point, or processed further at a cost of $800 and then sold for $4,000. The company should process further:

Answers

Answer:

Product B should be process further

Explanation:

A company should process further a product if the addtional revenue from the split-off point is greater than than the further processing cost.

Product A                                                                     $

Additional revenue ( 1,700 - 1,200)                         500

Further processing cost                                         (600)

Loss from further processing                                 (100)

Product B                                                                       $

Additional revenue ( 4,000 - 3,000)                        1000

Further processing cost                                          (800)

Loss from further processing                                  200

The company should process further Product B as doing do will increase net income by $200.

Product A should be sold at the split off point because processing further will reduce the net income of the company by $100

Baron Corporation has a target capital structure of 65 percent common stock, 10 percent preferred stock, and 25 percent debt. Its cost of equity is 9 percent, the cost of preferred stock is 4 percent, and the pretax cost of debt is 5 percent. The relevant tax rate is 21 percent.
a. What is the company’s WACC?
b. What is the aftertax cost of debt?

Answers

Answer:

WACC is 7.24%

After tax cost of debt is 3.95%

Explanation:

WACC=Ke*E/V+Kd*D/V*(1-t)+Kp*P/V

Ke is the cost of equity of 9% or 0.09

Kd  is the cost of debt at 5% or 0.05

Kp is the of preferred stock of 4% or 0.04

E is the weight of equity of 65% 0r 0.65

D is the weight of debt of 25% 0.25

K is the weight of preferred stock of 10% or 0.10

t is the tax rate of 21% or 0.21

WACC=(0.09*0.65)+(0.05*0.25*1-0.21)+(0.04*0.10)

WACC=(0.09*0.65)+(0.05*0.25*0.79)+(0.04*0.10)

WACC=7.24%

after tax cost of debt=pretax cost of debt*(1-t)

                                  =0.05*(1-0.21)

                                 =0.0395=3.95%

Which of the following intrinsic or extrinsic changes would result in an increase in stroke volume? Group of answer choices An increase in diastolic blood pressure A decrease in preload A decrease in ventricular compliance An increase in venous return Arterial constriction

Answers

Answer: An increase in diastolic blood pressure.

Explanation: Stroke volume is defined in cardiovascular physiology as the volume of blood that is pumped from the left ventricle per heart beat.

An increased diastolic blood pressure, which can also be called diastolic hypertension, is when the they extra strain on the heart and blood vessels.

An increased diastolic blood pressure increases the stroke volume, because when the diastolic blood pressure increases, it create an extra strain in the heart and blood vessels, which will cause the left ventricle to pump in more blood per beat.

Answer:

An increase in diastolic blood pressure

Explanation:

Stroke volume is defined as the volume of blood let out from the left ventricle in a single heartbeat.

Diastolic pressure is the pressure on the arterial wall between heartbeats.

As Stroke volume increases, end diastolic volume increase slightly. This increased disatolic volume leads to the Frank-Starling mechanism which contributes to the increased stroke volume (stroke volume increases when end-diastolic volume increases). Since pressure and volume are directly proportional, an increase in stroke pressure also leads to an increase in the diastolic pressure.

Your aunt is thinking about opening a hardware store. She estimates that it would cost $300,000 per year to rent the location and buy the stock. In addition, she would have to quit her $45,000 per year job as an accountant. What is the opportunity cost of something

Answers

Answer:

Opportunity cost = $345,000

Explanation:

Given:

Total investment = $300,000

Give up job revenue = $45,000

Opportunity cost = ?

Computation of opportunity cost:

Opportunity cost refers to the price we are willing to lose to get something.

Opportunity cost = Total investment + Give up job revenue

Opportunity cost = $300,000 + $45,000

Opportunity cost = $345,000

The opportunity cost in this case is $45,000 per year.

The opportunity cost in this scenario is the value of the next best alternative that your aunt gives up by choosing to open the hardware store instead of continuing her job as an accountant.

Here's how we calculate it:

1. Annual Cost of Opening the Hardware Store:

  - Rent and stock: $300,000 per year

2. Annual Income from Current Job:

  - Salary as an accountant: $45,000 per year

Since your aunt would have to quit her job as an accountant to open the hardware store, the opportunity cost is the salary she gives up by not working as an accountant.

Therefore, the opportunity cost in this case is $45,000 per year. This represents the income she would have earned annually if she had continued working as an accountant instead of pursuing the hardware store venture.

Initiating structure describes the following leadership behavior:

A. A leader who is task-oriented and directs subordinates' work
B. A leader who is sensitive to subordinates and respects their ideas, and feelings
C. A leader who seeks input from subordinates regarding important decisions
D. A leader who listens carefully to problems.

Answers

Answer:

The correct answer is A. A leader who is task-oriented and directs subordinates' work .

Explanation:

The starting structure: Refers to the measure by which the leader can define and structure his role and those of his subordinates, in the pursuit of goal achievement. It includes behavior that tries to organize work, work relationships, and goals.

Extensive research, based on these definitions, shows that leaders with high rates of starting structure and consideration (a "high - high" leader) tend to achieve high performance and subordinate satisfaction, more often than those who rate low either in consideration, starting structure or in both dimensions. It does not always result in positive consequences to high rates of truancy and turnover, as well as low levels of job satisfaction for workers performing routine tasks. In conclusion, the Ohio State studies emerged that "high - high style" generally produced positive results.

Final answer:

Initiating structure is a type of leadership behavior characterized by a leader who is task-oriented and directs the work of their subordinates. This approach can lead to high productivity levels.

Explanation:

Initiating structure is a type of leadership behavior characterized by a leader who is task-oriented and directs the work of their subordinates. It is related to how a leader organizes and defines relationships within the group, and how they establish clear patterns of organization, channels of communication, and procedures. In this case, Option A is correct: 'A leader who is task-oriented and directs subordinates' work'. This approach can lead to high productivity levels and shows that the leader is actively involved in the work process.

Learn more about Initiating structure here:

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g A. Cutting the firm's dividend to increase investment will raise the stock price if, and only if, the return of new investments is higher than the cost of capital. B. We cannot use the constant dividend growth model to value the stock of a firm with rapid or changing growth. C. Total return equals earnings multiplied by the dividend payout rate. D. As firms mature, their earnings exceed their investment needs and they begin to pay dividends.

Answers

Answer:

C. Total return equals earnings multiplied by the dividend payout rate.

Borel Inc., a calendar year company, purchased on June 29, 2019 a tractor trailer for transporting racehorses. The cost of the trailer was $200,000 and is estimated to have a useful life of five years and salvage value is to be ignored. What would be the depreciation expense during the entire useful life of the asset

Answers

Answer:

In the first year 2019, the depreciation expense would be $20,000.

From 2020 to 2023, the depreciation expense would be $40,000 and then $20,000 in 2024.

Explanation:

Depreciation is the systematic allocation of the cost of an asset to the income statement over the estimated useful life of that asset.

It is determined as the depreciable value of the asset over the estimated useful life of the asset where the depreciable value is the difference between the cost and salvage value of the asset

Mathematically,  

Depreciation = (Cost - Salvage value)/Estimated useful life

Annual depreciation

= $200,000/5

= $40,000

In the first year 2019, the depreciation expense would be

= 1/2 * $40,000

= $20,000

From 2020 to 2023, the depreciation expense would be $40,000 and then $20,000 in 2024

Answer:

The depreciation expense during the entire useful life of the asset is simply the same as the cost of the asset, which is $200,000. This is because there was no salvage value. The following journals apply:

Debit Depreciation expense                              $200,000

Credit Accumulated depreciation                     $200,000

(To record accumulated depreciation for the entire life of the asset)

Explanation:

There are varying methods of calculating depreciation expense like straight-line, double-declining or the unit-of-production method. The most commonly used is the straight-line method. Under this method, depreciation is an allocation of the cost of an asset over its estimated useful life and it is expressed with this formula: (cost - residual value) / No of years = ($200,000 - 0) / 5 years = $40,000 yearly depreciation expense.

Accumulated depreciation for 5 years is $40,000 x 5 years $200,000.

So, the net book value (NBV) of the asset (expressed as Cost - Accumulated depreciation) is $200,000 - $200,000 = $0.

Preferred stock: 8 percent, par $10, authorized 20,000 shares. Common stock: par $1, authorized 50,000 shares. The following transactions occurred during the first year of operations in the order given: a. Issued a total of 45,000 shares of the common stock for $20 per share. b. Issued 12,000 shares of the preferred stock at $21 per share. c. Issued 3,500 shares of the common stock at $25 per share and 1,200 shares of the preferred stock at $21. d. Net income for the first year was $53,000.

Answers

Final answer:

Preferred stock: 8 percent, par $10, authorized 20,000 shares. Common stock: par $1, authorized 50,000 shares. Various transactions occurred involving the issuance of common and preferred stock, resulting in total cash inflows. Net income for the first year was $53,000.

Explanation:

The total number of authorized shares for preferred stock is 20,000 shares, with a par value of $10. Each share has a dividend rate of 8%. The total number of authorized shares for common stock is 50,000 shares, with a par value of $1.

The first transaction involved issuing 45,000 shares of common stock at $20 per share, resulting in a total cash inflow of $900,000.

In the second transaction, 12,000 shares of preferred stock were issued at $21 per share, resulting in a total cash inflow of $252,000.

The third transaction involved issuing 3,500 shares of common stock at $25 per share and 1,200 shares of preferred stock at $21 per share. This resulted in a total cash inflow of $109,500 for the common stock and $25,200 for the preferred stock.

Net income for the first year was $53,000 for both common and preferred stockholders.

For each form of private spending, indicate whether it represents consumption or investment.
Private Spending Consumption Investment
1. Laundromats buying washing machines
2. People buying newspapers
3. Firms buying automobiles for delivery services
4. Firms buying soft drinks for a holiday party

Answers

Answer: 1. Investment; 2. Consumption; 3. Investment; 4. Consumption

Explanation: Consumption is defined as trading money for good or services as an individual as well as to absorb information, especially through a media form. It refers to expenditure on consumer goods that are not used in the production of other goods and services.

Investment on the other hand refers to expenditure on capital goods or assets that can be used to produce other goods and services thus investment spending stimulates greater production in an economy than consumption spending does.

Private consumption spending in this case would include people buying newspapers and firms buying soft drinks for a holiday party. Private investment spending includes laundromats buying washing machines and firms buying automobile for delivery services.

Baker Mfg. Inc. (see Table 11.9) wishes to compare its inventory turnover to those of industry leaders, who have turnover of about 13 times per year and 8% of their assets invested in inventory.


a) What is Baker’s inventory turnover?

b) What is Baker’s percent of assets committed to inventory?

c) How does Baker’s performance compare to the industry leaders?

Table 11.9

ARROW DISTRIBUTING CORP.
Net revenue- $16,500

Cost of sales- $13,500

Inventory- $ 1,000

Total assets - $ 8,600

Baker MFg. Inc.

Net revenue- $27,500

Cost of sales- $21,500

Inventory- $ 1,250

Total assets- $16,600

Answers

Answer:

The answer is:

a. 17.2

b. 7.53%

c. Baker's performance is 0.47% lower than the industry performance

Explanation:

a. Baker's Inventory turnover = cost of sales/inventory

$21,500/$ 1,250

=17.2

b. Baker's Percentage of assets committed to inventory = (inventory/assets) x 100

($1,250/$16,600) x 100

7.53%

c. The industry's Percentage of assets committed to inventory is 8% whereas Baker's own 7.53%, meaning Baker's performance is 0.47% lower than the industry performance

Final answer:

Baker Mfg. Inc. has an inventory turnover of 17.2 times and 7.53% of its assets committed to inventory. Compared to the industry leaders with a turnover of 13 times and 8% of assets in inventory, Baker has a higher turnover and a slightly lower percentage of assets in inventory.

Explanation:

The student is asking for help with calculating and analyzing inventory turnover and the percentage of assets committed to inventory for Baker Mfg. Inc., in order to compare it with industry leaders.

Inventory turnover is calculated by dividing the cost of sales by the average inventory. For Baker Mfg. Inc., the calculation is as follows:

Inventory Turnover = Cost of Sales / Inventory

                        = $21,500 / $1,250

                        = 17.2 times

To find the percentage of assets committed to inventory, we divide the inventory by the total assets and then multiply by 100 to get the percentage.

Percentage of Assets = (Inventory / Total Assets) × 100

                       = ($1,250 / $16,600) × 100

                       = 7.53%

In comparison to industry leaders with an inventory turnover of about 13 times per year and 8% of their assets invested in inventory, Baker Mfg. Inc. has a higher inventory turnover at 17.2 times, and a slightly lower percentage of assets committed to inventory at 7.53%.

American Products is concerned about managing cash efficiently. On average, inventories have an age of 80 days, and accounts receivable are collected in 40 days. Accounts payable are paid approximately 30 days after they arise. The firm has annual sales of about $30 million. Goods sold total $20 million, and purchases are $15 million.
a. Calculate the firm’s operating cycle.
b. Calculate the firm’s cash conversion cycle.
c. Calculate the amount of resources needed to support the firm’s cash conversion cycle.
d. Discuss how management might be able to reduce the cash conversion cycle.

Answers

Final answer:

a. The firm's operating cycle is 120 days. b. The firm's cash conversion cycle is 90 days. c. The amount of resources needed to support the firm's cash conversion cycle is $4.93 million. d. Management can reduce the cash conversion cycle by improving inventory management, accounts receivable management, and negotiating payment terms with suppliers.

Explanation:

a. The operating cycle of a firm is the average time it takes for a company to convert its inventory into cash. In this case, the average age of inventory is given as 80 days and the average collection period for accounts receivable is 40 days. Adding these two together gives us the operating cycle: 80 + 40 = 120 days.

b. The cash conversion cycle is a measure of the time it takes for a company to convert its investments in inventory and accounts receivable into cash. To calculate it, we subtract the average payment period for accounts payable from the operating cycle. In this case, the average payment period for accounts payable is 30 days. So the cash conversion cycle would be 120 - 30 = 90 days.

c. The amount of resources needed to support the cash conversion cycle can be calculated by multiplying the average daily cost of goods sold by the cash conversion cycle. Here, the cost of goods sold is $20 million and the cash conversion cycle is 90 days. So the resources needed would be: $20 million * (90/365) = $4.93 million.

d. Management can reduce the cash conversion cycle by adopting strategies such as improving inventory management to reduce the average age of inventory, implementing efficient accounts receivable management to collect payments more quickly, and negotiating longer payment terms with suppliers to increase the average payment period for accounts payable.

General Importers announced that it will pay a dividend of $4.30 per share one year from today. After that, the company expects a slowdown in its business and will not pay a dividend for the next 6 years. Then, 8 years from today, the company will begin paying an annual dividend of $2.40 forever. The required return is 12.7 percent. What is the price of the stock today?

Answers

Answer:

The price of the stock today is $11.59

Explanation:

As Gordon Growth Model, price of stock = expected dividend paid/ (discounting rate - growth rate)

Growth rate of dividend from year 1 to year 8 (after 7 years)

= ($2.4/$4.3)^(1/7) - 1 = -8%

Price of stock = $2.4/(12.7% - (-8%) = $11.59

Calculating costs Kate is working for a consulting firm making $50,000 per year but considers starting her own consulting company. Kate has determined that to launch the business, she needs to invest $80,000 of her own funds. The annual cost of running the business will include $50,000 for the rent of the office space, $180,000 for employee wages, and $8,000 for materials and utilities. Kate plans to manage the business, which means that she will have to quit her current job. Suppose that the interest rate (or rate of return) on investments in the economy is 5%.

Kate's total implicit cost per year is_____ . Kate's total cost per year is______

Answers

Answer:

Implicit cost =$54,000

Total cost   =  $292,000.

Explanation:

The implicit cost is the sum of value of the next best alternative sacrificed in favour of a decision.

The implicit cost for Kate includes

The job salary to  be lost = $50,000

Interests lost by not depositing the sum = (5%× 80,000)= $4,000

Implicit cost

= $50,000 +$4,000

=$54,000

Implicit cost =$54,000

Total cost

Total cost i the sum of implicit cost and accounting cost

Total cost = 50,000 + 180,000 +8000 + 54,000

              Total cost   =  $292,000.

                 

A company that produces pleasure boats has decided to expand one of its lines. Current facilities are insufficient to handle the increased workload, so the company is considering there alternatives, N (new location), S (subcontract), E (expand existing facilities). Alternative N would involve substantial fixed costs but relatively low variable costs: fixed costs would be $250,000 per year (for the new facility), and variable costs would be $500 per boat.a. Find the range of output for each alternative that would yield the lowest total cost.

A or more

B to

C to


b. Which alternative would yield the lowest total cost for an expected annual volume of 150 boats?


A


B


C

Answers

Answer:

(a) Alternative A = 401 or more

    Alternative B = 0 to 33

    Alternative C = 34 to 399

(b) Alternative C will yield the lowest total cost

Explanation:

Alternative A:

Fixed costs = FCa = $250,000

Variable costs per boat = VCa = $500

Alternative B:

Variable costs per boat = VCb = $2500

Alternative C:

Fixed costs = FCc = $50,000

Variable costs per boat = VCc = $1000

We have to find crossover point with the alternative which have nearest variable cost

Hence, we find crossover point between pair of Alternative A and C and pair of Alternative B & C

For A & C

Let the crossover point be x

FCa + VCa * x = FCc + VCc * x

250,000 + 500x = 50000 + 1000x

x = 400

Higher number is preferred for Alternative with higher fixed cost.

Hence, for alternative A, the range should be 400 or more

For alternative C, the range should be less than 400

For B & C

Let the crossover point be y

FCb + VCb * y = FCc + VCc * y

0 + 2500x = 50000 + 1000y

y = 33.33

Higher number is preferred for Alternative with higher fixed cost.

Hence, for alternative C, the range should be 34 or more

For alternative B, the range should be less than 33

As seen from above,

Alternative A = 401 or more

Alternative B = 0 to 33

Alternative C = 34 to 399

Indifference points of 33.33 and 400 are not included in the above answer.

b.

For an annual volume of 150 boats, this fall in the range of 34 to 399

Hence, Alternative C will yield the lowest total cost for an expected annual volume of 150 boats

Final answer:

Without the costs for alternatives S (subcontract) and E (expand existing facilities), we cannot calculate their output ranges or compare them to alternative N (new location). Only the costs for alternative N are given, where the fixed cost is $250,000 per year and the variable cost is $500 per boat. To determine which alternative would have the lowest total cost for 150 boats, information on all alternatives is necessary.

Explanation:

To find the range of output for each alternative that would yield the lowest total cost, we need to compare the three alternatives, N (new location), S (subcontract), and E (expand existing facilities), based on their cost structures. Unfortunately, the costs for alternatives S and E are not provided; thus, we cannot calculate the ranges of output for these alternatives. However, with the information given, we can analyze alternative N only.

For alternative N, the fixed costs are $250,000 per year, and the variable costs are $500 per boat. The total cost (TC) for producing x boats at this new location would be TC = $250,000 (fixed costs) + $500x (variable costs). Without information on the variable and fixed costs of the other two alternatives (S and E), it's not possible to determine the cost-minimizing range of output for those options or to identify which would yield the lowest total cost for an expected annual volume of 150 boats.

Analysis of Alternative N:

Total cost at 150 boats for alternative N: TC = $250,000 + ($500 × 150) = $250,000 + $75,000 = $325,000.

Without information on alternatives S and E, we cannot provide an answer for part b of the question, i.e., which alternative would yield the lowest total cost for an expected annual volume of 150 boats. Additional data would be required to conduct a full analysis and determine the most cost-effective alternative.

On December 31, 2020, Oriole Company granted some of its executives options to purchase 153000 shares of the company's $50 par common stock at an option price of $60 per share. The Black-Scholes option pricing model determines total compensation expense to be $2940000. The options become exercisable on January 1, 2021, and represent compensation for executives' past and future services over a three-year period beginning January 1, 2021. What is the impact on Oriole's total stockholders' equity for the year ended December 31, 2020, as a result of this transaction under the fair value method?

Answers

Answer:

$2,940,000/3 = $980,000

Explanation:

First, the question is to calculate the impct of the transactions on Oriole's total stockholders' equity for the year ended December 31st 2020.

Since the fair value method is mentioned, we answer as follows

What is the fair value of the Option = $2,940,000

It is important to note that under this fair value method, over the life of an option, the total compensation for that option is to be recognized as an expense.

Based on this criteria, the amount recognized for the December 31, 2020

= Fair value of option /3

= $2,940,000/3 = $980,000

Katlyn Williams owns a company that makes specialized components for the aerospace industry. Her most important customer is a company that is growing at a rate of 33% per year. Katlyn is working hard to grow her firm, because she knows that unless her company continually grows it will not be able to keep pace with the growth of its most important customer. This example illustrates the reason for growth referred to as ________.

Answers

Answer:

Need to accommodate the growth of a key customer.

Explanation:

In the given scenarios Katlyn is motivated to keep her company growing because her most important customer is a company that is growing at a rate of 33% per year.

To satisfy the customer needs for specialised components of aerospace equipment, Katlyn's company must also grow in output or they will not be able to satisfy the customer's need.

This demonstrates need to accommodate the growth of a key customer.

Answer:

Need to accommodate the growth of a key customer.

Explanation:

As mentioned in the question that the most important customer to Katlyn Williams is a company that is growing at a really fast pace which is 33% per year and in order to level that up Katlyn also need to put some effort in order to increase the pace of his company in delivering the required components to that particular customer as no company wants to displease its customers.

Hence it can be said that Katlyn need to accommodate the growth if its key customer.

Hope this clears.

Contribution Margin Molly Company sells 37,000 units at $19 per unit. Variable costs are $11.59 per unit, and fixed costs are $109,700. Determine (a) the contribution margin ratio, (b) the unit contribution margin, and (c) income from operations. a. Contribution margin ratio (Enter as a whole number.) % b. Unit contribution margin (Round to the nearest cent.) $ per unit c. Income from operations $

Answers

Answer:

(a) Contribution margin ratio = 0.39, or 39%

(b) the unit contribution margin = $7.4 per unit

(c) income from operations = $164,470

Explanation:

Total revenue = 37,000 × $19 = $703,000

Total variable cost = 37,000 × $11.59 = $428,830

Margin = $703,000 - $428,830 = $274,170

(a) the contribution margin ratio

Contribution margin ratio = $274,170/$703,000 = 0.39, or 39%

(b) the unit contribution margin

Unit contribution margin =  $19 - $11.59 = $7.4 per unit

(c) income from operations

Income from operations = $274,170 - $109,700 = $164,470

Adams, Incorporated would like to add a new line of business to its existing retail business. The new line of business will be the manufacturing and distribution of animal feeds. This is a major capital project. Adams, Incorporated is aware you an in an MBA program and would like you to help analysis the viability of this major business venture based on the following information:

• The production line would be set up in an empty lot the company owns.
• The machinery’s invoice price would be approximately $200,000, another $10,000 in shipping charges would be required, and it would cost an additional $30,000 to install the equipment.
• The machinery has useful life of 4 years, and it is a MACRS 3-year asset.
• The machinery is expected to have a salvage value of $25,000 after 4 years of use.
• This new line of business will generate incremental sales of 1,250 units per year for 4 years at an incremental cost of $100 per unit in the first year, excluding depreciation. Each unit can be sold for $200 in the first year. The sales price and cost are expected to increase by 3% per year due to inflation.
• Net working capital would have to increase by an amount equal to 12% of sales revenues. The firm’s tax rate is 40%, and its overall weighted average cost of capital is 10%.

Required:
Construct annual incremental operating cash flow statements.

Answers

Answer:

machine's cost = $200,000 + $10,000 + $30,000 = $240,000

useful life of 4 years

salvage value of $25,000, depreciable value = $215,000

MACRS 3-year asset:

0.333 x $215,000 = $71,5950.445 x $215,000 = $95,6750.148 x $215,000 = $31,8200.074 x $215,000 = $15,910

incremental sales of 1,250 units per year, during 4 years:

1,250 x $200 = $250,0001,250 x $206 = $257,5001,250 x $212.18 = $265,2251,250 x $218.55 = $273,188

incremental COGS of 1,250 units per year, during 4 years:

1,250 x $100 = $125,0001,250 x $103 = $128,7501,250 x $106.09 = $132,6131,250 x $109.27 = $136,588

net working capital increases by 12% of sales revenue = $250,000 x 12% = $30,000

WACC = 10%

tax rate = 40%

initial investment = $240,000 (machine cost) + $30,000 (working capital) = $270,000

net cash year 1 = [($250,000 - $125,000 - $71,595) x (1 - 40%)] + $71,595 = $103,638net cash year 2 = [($257,500 - $128,750 - $95,675) x (1 - 40%)] + $95,675 = $115,520net cash year 3 = [($265,225 - $136,588 - $31,820) x (1 - 40%)] + $31,820 = $92,295net cash year 4 = [($273,188 - $136,588 - $15,910) x (1 - 40%)] + $15,910 = $88,324 + $25,000 (salvage value) + $30,000 (net working capital) = $143,324

to calculate the present value:

PV = $103,638/1.1 + $115,520/1.1² + $92,295/1.1³ + $143,324/1.1⁴ = $94,216 + $95,471 + $69,343 + $97,892 = $356,922

NPV = $356,922 - $270,000 = $86,922

Final answer:

To analyze the viability of Adams, Incorporated's new business venture, construct annual incremental operating cash flow statements factoring in the initial equipment investment, sales, costs, and inflation. Calculate depreciation using MACRS and adjust net working capital to reflect the 12% of sales revenues. This process is critical to projecting the potential profitability of the investment.

Explanation:

The analysis of the viability of a new line of business for Adams, Incorporated involves constructing annual incremental operating cash flow statements. The initial investment consists of $200,000 for machinery, $10,000 for shipping, and $30,000 for installation. The machinery, which falls under MACRS 3-year property, has a projected useful life of 4 years and an estimated salvage value of $25,000. Sales are expected to be 1,250 units annually at $200 per unit initially, with both cost and sales price inflating by 3% per year. The net working capital will increase proportionately to 12% of sales revenues. The tax rate is 40%, and the weighted average cost of capital is 10%.



Example Operating Cash Flow Calculation (Year 1)

Initial Sales Revenue: 1,250 units × $200 = $250,000

Incremental Cost (excluding depreciation): 1,250 units × $100 = $125,000

Depreciation: Based on MACRS 3-year schedule for Year 1

Taxable Income: Sales Revenue - Incremental Costs - Depreciation

Taxes: Taxable Income × 40%

Net Operating Cash Flow: Taxable Income - Taxes + Depreciation

Net Working Capital Increase: 12% of Sales Revenue

For subsequent years, index the sales and costs by the inflation rate to calculate the new values. This example illustrates how to start the cash flow analysis by estimating the first year's operating cash flow. The exercise would be repeated for years 2 to 4, factoring in inflation-adjusted revenues, costs, and the annual depreciation, in accordance with MACRS.

Analysts predicted earnings per share (EPS) for your company to be $0.XX at the close of 20XX. How does this compare to actual EPS for 20XX? If actual EPS is higher than the analysts’ prediction, what factors contributed to the success? If actual EPS is lower than the prediction, how will you explain the shortfall to your investors? Is there anything you did or could have done to meet/exceed the prediction?

Answers

Answer and Explanation:

Earnings per Share, EPS = Net Income dividend of preferred stock

                                            Number of stock outstanding

EPS  depends on the earnings and its dilution due to increase in preferred stock also it depends on the net income earned

When EPS is higher than analyst prediction,

this may be due to increase in the net income

or

payback of common stock or preferred stock

thereby leading to reduction in the number of stock outstanding

When EPS is lower than analyst prediction

this would be due to reduction in the net income

or

increase of stock or preferred stock due to fresh issue

Insurance against issues that could lead to reduction on income and inrease in the activities that will lead to net income increase can help meet or surpass analyst prediction

Waterway Enterprises reported cost of goods sold for 2020 of $1,385,600 and retained earnings of $5,415,900 at December 31, 2020. Waterway later discovered that its ending inventories at December 31, 2019 and 2020, were overstated by $103,320 and $38,040, respectively.

Determine the corrected amounts for 2020 cost of goods sold and December 31, 2020, retained earnings

a. Corrected cost of goods sold $___
b. Corrected 12/31/20 retained earnings $ ____.

Answers

Answer:

(a) $1,320,320

(b) $5,377,860

Explanation:

Given that,

Cost of goods sold for 2020 = $1,385,600

Retained earnings at December 31, 2020 = $5,415,900

Ending inventories at December 31, 2019 overstated by $103,320

Ending inventories at December 31, 2020 overstated by $38,040

Cost of goods sold is calculated as follows:

= Beginning inventory + Purchases during the period - Ending inventory

The closing inventory is overstated by $38,040, indicates that the large amount of ending inventories is deducted while calculating the cost of goods sold. Therefore, it is added to the cost of goods sold.

The beginning inventory is overstated by $103,320, indicates that the large amount of opening inventory is added while calculating the cost of goods sold. Therefore, it is deducted to the cost of goods sold.

(a) Corrected cost of goods sold:

= Incorrect cost of goods sold for 2020 + Overstated ending inventory - Overstated opening inventory

= $1,385,600 + $38,040 - $103,320

= $1,320,320

(b) The retained

Corrected 12/31/20 retained earnings:

= Incorrect retained earnings - Overstated ending inventory at December 31, 2020

= $5,415,900 - $38,040

= $5,377,860

The retained earnings is calculated on the basis of higher ending inventories, so it must be deducted from the retained earnings.

On January 1, 2021, David Mest Communications granted restricted stock units (RSUS) representing 30 million of its $1 par common shares to executives, subject to forfeiture if employment is terminated within three years. After the recipients of the RSUS satisfy the vesting requirement, the company will distribute the shares. The common shares had a market price of $18 per share on the grant date. At the date of grant, Mest anticipated that 6% of the recipients would leave the firm prior to vesting. On January 1, 2022, 5% of the RSUs are forfeited due to executive turnover. Mest chooses the option to account for forfeitures when they actually occur. Required: 1. to 3. Prepare the appropriate journal entries to record compensation expense on December 31, 2021, December 31, 2022, and December 31, 2023.

Answers

Answer:

Compensation expense for 2021 = $120 million

Compensation expense for 2022 = $108 million

Compensation expense for 2023 = $114 million

Explanation:

Check the picture attached for the calculation

Answer:

Explanation:

Explanation

1.

At January 1, 2021, the estimated value of the award is:

 

           

 $ 12     estimated fair value per share

×   30 million   RSUs granted

= $ 360 million   total compensation

 

Compensation expense ($360 million ÷ 3 years) = $120 million

 

2.

We adjust the cumulative amount of compensation expense recorded to date in the year a forfeiture occurs.

2022

Compensation expense ([$360 − (5% × $360) × 2/3] − $120) = $108 million

3.

2023

Compensation expense ([$360 − (5% × $360) × 3/3] − $120 − $108) = $114 million

Willkom Corporation buys 100% of Szabo Inc. on January 1, 2018, at a price in excess of the subsidiary’s fair market value. On that date, Willkom’s equipment (10 year life) has a book value of $600,000 but a fair market value of $800,000. Szabo has equipment (10 year life) with a book value of $400,000 but a fair market value of $600,000. Willkom uses the partial equity method to record its investment in Szabo. On December 31, 2020, Willkom has equipment with a book value of $420,000 but a fair market value of $660,000. Szabo has equipment with a book value of $280,000 buy a fair market value of $540,000. What is the consolidated balance for the equipment account as of December 31, 2020?

Answers

Answer:

The consolidated balance for the equipment account as of December 31, 2020 is $652,000.

Explanation:

the original price allocation = $660,000 - $420,000

                                              = $24000

(240000/10years)*3 years = $72,000

consolidated equipment

= book value + other company book value + original purchase price allocation - amortization of allocation

=  $420,000 + $280,000 + $24000 - $72,000

= $652,000

Therefore, The consolidated balance for the equipment account as of December 31, 2020 is $652,000.

Kieu Corporation constructs a new warehouse. It pays $100,000 for materials and $70,000 to the general contractor. Architectural fees total $18,000. The corporation pays $13,000 in interest on its loan to finance construction. The land costs $15,000, and the real estate taxes paid on the land during construction amount to $1,000. What is Kieu's initial basis in the warehouse?

Answers

Answer:

$204,000

Explanation:

Initial cost basis is the amount of cost capitalized in the purchase of an asset for tax and other purposes.It consists of purchase price , development fees , professional fees  estate taxes and others.

Please note that finance cost is not included as it is recorded as expenses over the life of the loan.

Workings

Materials - $100,000

Contractor fees - $70,000

Architectural fees - $ 18,000

Cost of land  $ 15,000

Estate taxes - $1000

Total cost =$204,000

Suppose that the demand curve for barley can be characterized by the equation P = 100 - 2Qd. Suppose further that price was $10.00 and a $10.00 tax is imposed on the market. a) How many barleys would be purchased at a price of $10.00? After tax? b) What is the amount of tax revenue generated by the tax? c) How much excess burden is generated by the tax? d) What is the amount of consumer surplus before and after the tax? What is the difference in consumer surplus? Is it equal to excess burden plus the tax revenue?

Answers

Answer:

a. 45 , 40

b. $400

c. $25

d. before tax; $2025 and after tax ; $1,600

e. difference in consumer surplus $425

f. Yes it is equal

Explanation:

In this question, we are presented with the equation of a demand curve.

Given the price amount and the tax amount, we are asked to answer the questions that follow;

Please check attachment for complete solution and step by step explanation

In "traditional channel systems," the channel members: A. consider traditional values-like cooperation and respect-as central to their relationship. B. have franchise contracts. C. usually have a common product-market commitment. D. make little or no effort to cooperate with each other. E. are integrated.

Answers

Answer:

D. make little or no effort to cooperate with each other.

Explanation:

When companies are promoting and transmitting their product from the point of production to the customer they use different channels.

The traditional channel is the normal brick and mortar stores that sell products to customers. However with the introduction of the internet a lot of stores have gone online.

Traditional stores make little effort to cooperates with one another, unlike online stores that collaborate to promote products.

Answer: D. make little or no effort to cooperate with each other.

Explanation: Channels of distribution are any series of firms or individuals who are involved in the flow of products from the producer to the end user or consumer. In "traditional channel systems," the channel members make little or no effort to cooperate with each other. Though traditional channel systems may exhibit little cooperation between channel members, they also buy and sell from each other with the producer setting the objectives for all channel members.

7. Fast Pizza hires college students who drive their own cars to deliver pizzas to customers. Fast Pizza is concerned that the company may be liable for damages caused by company employees while they are driving their cars on company business. Identify a liability coverage form that Fast Pizza could purchase to deal with this exposure.

Answers

Answer:

Business auto insurance

Explanation:

Liability coverage is a type of insurance cover that protects the purchaser from liabilities from lawsuits and other similar claims.

The purchaser is protected when the claim comes under what the liability insurance covers.

In this case FasbPizza can use vicarious liability.

Business auto insurance cover is used to cover a company for use of cars, trucks, and other vehicles in the course of carrying out its business. It covers both liability and damage incurred.

Coverage is for cars owned by business, leased, and owned by employees but used for company business

In 2007, the economy slipped in a recession that many called the worst since the Great Depression. This caused people to experience a general decrease in their income levels. At the same time, there was an increase in the price of wheat used to make Ramen Noodles (an inferior good). Given these two effects, what would happen to the equilibrium price and quantity of Ramen Noodles

Answers

Answer:

an increase in equilibrium price and an indeterminate effect on equilibrium quantity.

Explanation:

An inferior good is a good whose demand increases when income falls and reduces when income rises.

If ramen is an inferior good, when income falls its demand would increase. This would lead to a rise in quantity and price.

An increase in the price of wheat would increase the cost of production of ramen. As a result, the supply of ramen would fall. Price would increase and supply would fall.

The combined effect would be an increase in equilibrium price but an indeterminate effect on equilibrium quantity.

I hope my answer helps you

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