Mastery Problem: Cost-Volume-Profit Analysis
Cost Behavior
Cover-to-Cover Company is a manufacturer of shelving for books. The company has compiled the following cost data, and wants your help in determining the cost behavior. After reviewing the data, complete requirements (1) and (2) that follow.
Units Produced |
Total Lumber Cost |
Total Utilities Cost |
Total Machine Depreciation Cost |
| 15,000 shelves | $150,000 | $18,750 | $135,000 |
| 30,000 shelves | 300,000 | 36,000 | 135,000 |
| 60,000 shelves | 600,000 | 70,500 | 135,000 |
| 75,000 shelves | 750,000 | 87,750 | 135,000 |
1. Determine whether the costs in the table are variable, fixed, mixed, or none of these.
| Lumber | Variable Cost |
| Utilities | Mixed Cost |
| Depreciation | Fixed Cost |
2. For each cost, determine the fixed portion of the cost, and the per-unit variable cost. If there is no amount or an amount is zero, enter "0". Recall that, for N = Number of Units Produced, Total Costs = (Variable Cost Per Unit x N) + Fixed Cost. Complete the following table with your answers. Round variable portion of cost (per unit) answers to two decimal places.
Cost |
Fixed Portion of Cost |
Variable Portion of Cost (per Unit) |
| Lumber | $ | $ |
| Utilities | ||
| Depreciation |
High-Low
Biblio Files Company is the chief competitor of Cover-to-Cover Company in the bookshelf business. Biblio Files is analyzing its manufacturing costs, and has compiled the following data for the first six months of the year. After reviewing the data, answer questions (1) through (3) that follow.
| Units Produced | Total Cost | ||
| January | 4,360 | units | $65,600 |
| February | 275 | 6,250 | |
| March | 1,000 | 15,000 | |
| April | 5,775 | 88,750 | |
| May | 1,750 | 32,500 | |
| June | 3,015 | 48,000 | |
1. From the data previously provided, help Biblio Files Company estimate the fixed and variable portions of its total costs using the high-low method. Recall that Total Costs = (Variable Cost Per Unit x Number of Units Produced) + Fixed Cost. Complete the following table.
| Total Fixed Cost | Variable Cost per Unit |
| $ | $ |
2. With your Total Fixed Cost and Variable Cost per Unit from the high-low method, compute the total cost for the following values of N (Number of Units Produced).
| Number of Units Produced |
Total Cost |
| 3,500 | $ |
| 4,360 | |
| 5,775 |
Contribution Margin
Review the contribution margin income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statements. Complete the following table from the data provided on the income statements. Each company sold 78,800 units during the year.
| Cover-to-Cover Company |
Biblio Files Company |
|
| Contribution margin ratio (percent) | % | % |
| Unit contribution margin | $ | $ |
| Break-even sales (units) | ||
| Break-even sales (dollars) | $ | $ |
Income Statement - Cover-to-Cover
| Cover-to-Cover Company Contribution Margin Income Statement For the Year Ended December 31, 20Y8 |
||
| Sales | $394,000 | |
| Variable costs: | ||
| Manufacturing expense | $236,400 | |
| Selling expense | 19,700 | |
| Administrative expense | 59,100 | (315,200) |
| Contribution margin | $78,800 | |
| Fixed costs: | ||
| Manufacturing expense | $5,000 | |
| Selling expense | 4,000 | |
| Administrative expense | 10,700 | (19,700) |
| Operating income | $59,100 | |
Income Statement - Biblio Files
| Biblio Files Company Contribution Margin Income Statement For the Year Ended December 31, 20Y8 |
||
| Sales | $394,000 | |
| Variable costs: | ||
| Manufacturing expense | $157,600 | |
| Selling expense | 15,760 | |
| Administrative expense | 63,040 | (236,400) |
| Contribution margin | $157,600 | |
| Fixed costs: | ||
| Manufacturing expense | $80,500 | |
| Selling expense | 8,000 | |
| Administrative expense | 10,000 | (98,500) |
| Operating income | $59,100 | |
Sales Mix
Biblio Files Company is making plans for its next fiscal year, and decides to sell two new types of bookshelves, Basic and Deluxe. The company has compiled the following estimates for the new product offerings.
| Type of Bookshelf |
Sales Price per Unit |
Variable Cost per Unit |
| Basic | $5.00 | $1.75 |
| Deluxe | 9.00 | 8.10 |
The company is interested in determining how many of each type of bookshelf would have to be sold in order to break even. If we think of the Basic and Deluxe products as components of one overall enterprise product called “Combined,” the unit contribution margin for the Combined product would be $2.31. Fixed costs for the upcoming year are estimated at $332,640. Recall that the totals of all the sales mix percents must be 100%. Determine the amounts to complete the following table.
| Type of Bookshelf | Percent of Sales Mix | Break-Even Sales in Units | Break-Even Sales in Dollars |
| Basic | % | $ | |
| Deluxe | % | $ |
Feedback
Review the definition of break-even point.
Recall that the Combined unit contribution margin is given by [(Basic unit contribution margin) x (Basic percent of sales mix)] + [(Deluxe unit contribution margin) x (Deluxe percent of sales mix)]. Since these percents must add up to 100%, we have the following:
(Basic percent of sales mix) + (Deluxe percent of sales mix) = 100%, so that
(Deluxe percent of sales mix) = 100% - (Basic percent of sales mix)
Target Profit
Refer again to the income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statement. Note that both companies have the same sales and net income. Answer questions (1) - (3) that follow, assuming that all data for the coming year is the same as the current year, except for the amount of sales.
1. If Cover-to-Cover Company wants to increase
its profit by $20,000 in the coming year, what must their amount of
sales be?
$____________
2. If Biblio Files Company wants to increase
its profit by $20,000 in the coming year, what must their amount of
sales be?
$____________
In: Accounting
how much should I invest, and what should be the total fixed cost,total variable cost, expected revenue and pay back period for my start-up on onlin gaming?
In: Finance
write a memo how eliminated car industry emission cost. provide hard data externalities cost of car industry
In: Economics
Mastery Problem: Cost-Volume-Profit Analysis
Cost Behavior
Cover-to-Cover Company is a manufacturer of shelving for books. The company has compiled the following cost data, and wants your help in determining the cost behavior. After reviewing the data, complete requirements (1) and (2) that follow.
Units Produced |
Total Lumber Cost |
Total Utilities Cost |
Total Machine Depreciation Cost |
| 7,000 shelves | $70,000 | $9,550 | $145,000 |
| 14,000 shelves | 140,000 | 17,600 | 145,000 |
| 28,000 shelves | 280,000 | 33,700 | 145,000 |
| 35,000 shelves | 350,000 | 41,750 | 145,000 |
1. Determine whether the costs in the table are variable, fixed, mixed, or none of these.
| Lumber | Variable Cost |
| Utilities | Mixed Cost |
| Depreciation | Fixed Cost |
2. For each cost, determine the fixed portion of the cost, and the per-unit variable cost. If there is no amount or an amount is zero, enter "0". Recall that, for N = Number of Units Produced, Total Costs = (Variable Cost Per Unit x N) + Fixed Cost. Complete the following table with your answers. Round variable portion of cost (per unit) answers to two decimal places.
Cost |
Fixed Portion of Cost |
Variable Portion of Cost (per Unit) |
| Lumber | $ | $ |
| Utilities | ||
| Depreciation |
High-Low
Biblio Files Company is the chief competitor of Cover-to-Cover Company in the bookshelf business. Biblio Files is analyzing its manufacturing costs, and has compiled the following data for the first six months of the year. After reviewing the data, answer questions (1) through (3) that follow.
| Units Produced | Total Cost | ||
| January | 4,360 | units | $65,600 |
| February | 300 | 6,250 | |
| March | 1,000 | 15,000 | |
| April | 4,800 | 73,750 | |
| May | 1,750 | 32,500 | |
| June | 3,015 | 48,000 | |
1. From the data previously provided, help Biblio Files Company estimate the fixed and variable portions of its total costs using the high-low method. Recall that Total Costs = (Variable Cost Per Unit x Number of Units Produced) + Fixed Cost. Complete the following table.
| Total Fixed Cost | Variable Cost per Unit |
| $ | $ |
2. With your Total Fixed Cost and Variable Cost per Unit from the high-low method, compute the total cost for the following values of N (Number of Units Produced).
| Number of Units Produced |
Total Cost |
| 3,500 | $ |
| 4,360 | |
| 4,800 |
Contribution Margin
Review the contribution margin income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statements. Complete the following table from the data provided on the income statements. Each company sold 75,800 units during the year.
| Cover-to-Cover Company |
Biblio Files Company |
|
| Contribution margin ratio (percent) | % | % |
| Unit contribution margin | $ | $ |
| Break-even sales (units) | ||
| Break-even sales (dollars) | $ | $ |
Income Statement - Cover-to-Cover
| Cover-to-Cover Company Contribution Margin Income Statement For the Year Ended December 31, 20Y8 |
||
| Sales | $379,000 | |
| Variable costs: | ||
| Manufacturing expense | $227,400 | |
| Selling expense | 18,950 | |
| Administrative expense | 56,850 | (303,200) |
| Contribution margin | $75,800 | |
| Fixed costs: | ||
| Manufacturing expense | $5,000 | |
| Selling expense | 4,000 | |
| Administrative expense | 9,950 | (18,950) |
| Operating income | $56,850 | |
Income Statement - Biblio Files
| Biblio Files Company Contribution Margin Income Statement For the Year Ended December 31, 20Y8 |
||
| Sales | $379,000 | |
| Variable costs: | ||
| Manufacturing expense | $151,600 | |
| Selling expense | 15,160 | |
| Administrative expense | 60,640 | (227,400) |
| Contribution margin | $151,600 | |
| Fixed costs: | ||
| Manufacturing expense | $76,750 | |
| Selling expense | 8,000 | |
| Administrative expense | 10,000 | (94,750) |
| Operating income | $56,850 | |
Sales Mix
Biblio Files Company is making plans for its next fiscal year, and decides to sell two new types of bookshelves, Basic and Deluxe. The company has compiled the following estimates for the new product offerings.
| Type of Bookshelf |
Sales Price per Unit |
Variable Cost per Unit |
| Basic | $5.00 | $1.75 |
| Deluxe | 9.00 | 8.10 |
The company is interested in determining how many of each type of bookshelf would have to be sold in order to break even. If we think of the Basic and Deluxe products as components of one overall enterprise product called “Combined,” the unit contribution margin for the Combined product would be $2.31. Fixed costs for the upcoming year are estimated at $332,640. Recall that the totals of all the sales mix percents must be 100%. Determine the amounts to complete the following table.
| Type of Bookshelf | Percent of Sales Mix | Break-Even Sales in Units | Break-Even Sales in Dollars |
| Basic | % | $ | |
| Deluxe | % | $ |
Target Profit
Refer again to the income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statement. Note that both companies have the same sales and net income. Answer questions (1) - (3) that follow, assuming that all data for the coming year is the same as the current year, except for the amount of sales.
1. If Cover-to-Cover Company wants to increase
its profit by $40,000 in the coming year, what must their amount of
sales be?
$
2. If Biblio Files Company wants to increase
its profit by $40,000 in the coming year, what must their amount of
sales be?
$
In: Accounting
Pedregon Corporation has provided the following information:
| Cost per Unit | Cost per Period | ||||
| Direct materials | $ | 6.40 | |||
| Direct labor | $ | 3.20 | |||
| Variable manufacturing overhead | $ | 1.20 | |||
| Fixed manufacturing overhead | $ | 14,400 | |||
| Sales commissions | $ | 0.40 | |||
| Variable administrative expense | $ | 0.45 | |||
| Fixed selling and administrative expense | $ | 3,300 | |||
If 4,500 units are sold, the total variable cost is closest to:
Multiple Choice
$68,625
$52,425
$61,200
$48,600
In: Accounting
Glew Corporation has provided the following information:
| Cost per Unit | Cost per Period | |||
| Direct materials | $ | 6.00 | ||
| Direct labor | $ | 3.35 | ||
| Variable manufacturing overhead | $ | 1.75 | ||
| Fixed manufacturing overhead | $ | 8,800 | ||
| Sales commissions | $ | 1.00 | ||
| Variable administrative expense | $ | 0.40 | ||
| Fixed selling and administrative expense | $ | 4,000 | ||
For financial reporting purposes, the total amount of period costs incurred to sell 4,000 units is closest to:
Multiple Choice
$9,600
$6,400
$5,600
$4,000
In: Accounting
Total Manufacturing Cost, Income Statement, Unit Cost, and Selling Price Two inventors, recently
organized as Innovation, Inc., consult you regarding a planned new product. They have estimates of the
costs of materials, labor, overhead, and other expenses for 2016 but need to know how much to charge for
each unit to earn a profit in 2016 equal to 15% of their estimated total long-term investment of $400,000
(ignore income taxes). Their plans indicate that each unit of the new product requires the following:
Direct material
4 lb. of a material costing $5/lb.
Direct labor
2 hrs. of a metal former’s time at $11/hr.
0.6 hr. of an assembler’s time at $8/hr.
Major items of production overhead would be annual rent of $46,460 for a factory building, $28,660
rent for machinery, and $21,700 of indirect material. Other production overhead is estimated to be
$233,280. Selling expenses are an estimated 30% of total sales, and non-factory administrative expenses
are 20% of total sales.
The consensus at Innovation is that during 2016 10,000 units of product should be produced for
selling and another 2,000 units should be produced for the next year’s beginning inventory. Also, an
extra 3,000 pounds of material will be purchased as beginning inventory for the next year. Because
of the nature of the manufacturing process, all units started must be completed, so work in process
inventories are negligible.
Required
a. Incorporate the above data into a schedule of estimated total manufacturing costs and compute
the unit production cost for 2016.
b. Prepare an estimated income statement that would provide the target amount of profit for 2016.
c. What unit sales price should Innovation charge for the new product?
In: Accounting
Problem 8-31 Calculating Required Savings
A proposed cost-saving
device has an installed cost of $630,000. The device will be used
in a five-year project but is classified as three-year MACRS
property for tax purposes. The required initial net working capital
investment is $45,000, the marginal tax rate is 34 percent, and the
project discount rate is 10 percent. The device has an estimated
Year 5 salvage value of $70,000. What level of pretax cost savings
do we require for this project to be profitable? Refer to Table
8.3. (Do not round intermediate calculations and round your
answer to 2 decimal places, e.g., 32.16.)
Pretax cost savings
$
In: Finance
Case 3 VietJet is an international low-cost airline from Vietnam. As a low-cost carrier, VietJet offers the different fares based on seasonal demands in order to maximize their profit and hence the fares vary as per the demand during peak and off-peak season. The airline’s total demand is given by; Q = 1200 – 8P, where Q is the number of passengers (in thousands) per year and P is the fare in US dollars. The demand in the peak season is given by; Q = 640 – 3P and this demand function is different in offpeak season which is given by; Q = 560 – 5P. Assume that the fixed cost is $12 million per year with a constant marginal cost of $120 per passenger. Based on this information, discuss the below parts:
a) Calculate the maximum profit, price and number of passengers given that the airline charges only one prices irrespective of the season.
b) Calculate the maximum profit, price and number of passengers given that the airline charges different prices based on the season.
c) Calculate and comment on the demand elasticities at the price where they get maximum profit based on your answer in part (b) above.
d) Why do you think the airline would like to charge the different prices in different seasons? What benefits can it bring to the VietJet by doing so? Explain.
In: Economics
1. Modeling Questions – Cost Functions and Profit Maximization
A perfect competitive firm’s short-run cost function is estimated to be
Cy=10+18 y-4y2+0.6y3 ,
where y is the output, C(y) is the total cost.
a.(2’) What is the firm’s short-run fixed cost?
b.(2’) What is the firm’s short-run variable cost function?
c.(12’) Derive the functions of MC, AVC, AFC, and AC.
d Carefully graph your functions in the following combinations:
TC, FC, and VC vs. y on a single graph.
AC, AFC, AVC, and MC vs. y on a single graph.
(4’) On the graph (ii) at the bottom, label clearly the minimum AVC point and explain why MC curve crosses AVC curve at its minimum.
(20’) Given the output price is p, set up the output-side profit-maximization problem and find the product supply function.
In: Economics