Chapter 20: Q20-13RQ (page 1119)
What are the CVP assumptions?
Answer
When the volume of a product changes, the price per unit does not change.
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Question: What is target profit?
A furniture manufacturer specializes in wood tables. The tables sell for \(100 per unit and incur \)40 per unit in variable costs. The company has \(6,000 in fixed costs per month. Expected sales are 200 tables per month.
17. Calculate the margin of safety in units.
18. Determine the degree of operating leverage. Use expected sales.
19. The company begins manufacturing wood chairs to match the tables. Chairs sell for \)50 each and have variable costs of \(30. The new production process increases fixed costs to \)7,000 per month. The expected sales mix is one table for every four chairs. Calculate the breakeven point in units for each product.
Analyzing a cost-volume-profit graph
Nolan Rouse is considering starting a Web-based educational business, e-Prep MBA. He plans to offer a short-course review of accounting for students entering MBA programs. The materials would be available on a password-protected Web site; students would complete the course through self-study. Rouse would have to grade the course assignments, but most of the work would be in developing the course materials, setting up the site, and marketing. Unfortunately, Rouse’s hard drive crashed before he finished his financial analysis. However, he did recover the following partial CVP chart:
Requirements
1. Label each axis, the sales revenue line, the total costs line, the fixed costs line, the operating income area, and the breakeven point.
2. If Rouse attracts 300 students to take the course, will the venture be profitable? Explain your answer.
3. What are the breakeven sales in students and dollars?
Calculating breakeven point for two products, margin of safety, andoperating leverage
The contribution margin income statement of Delectable Donuts for May 2018follows:
DELECTABLE DONUTS Contribution Margin Income Statement Month Ended May 31, 2018 |
Net Sales Revenue | \(125,000 | |
Variable cost | ||
Cost of goods sold | \)32,100 | |
Selling cost | 17,400 | |
Administrative cost | 500 | \(50,000 |
Contribution Margin | \)75,000 | |
Fixed cost | ||
Selling cost | \(37,800 | |
Administrative cost | 12,600 | \)50,400 |
Operating income | \(24,600 |
Delectable sells five dozen plain donuts for every dozen custard-filled donuts. A dozenplain donuts sells for \)4.00, with a variable cost of \(1.60 per dozen. A dozen custardfilled donuts sells for \)8.00, with a variable cost of $3.20 per dozen.
Requirements
1. Calculate the weighted-average contribution margin.
2. Determine Delectable’s monthly breakeven point in dozens of plain donuts and custard-filled donuts. Prove your answer by preparing a summary contribution nmargin income statement at the breakeven level of sales. Show only two categories of costs: variable and fixed.
3. Compute Delectable’s margin of safety in dollars for May 2018.
4. Compute the degree of operating leverage for Delectable Donuts. Estimate thenew operating income if total sales increase by 20%. (Round the degree of operating leverage to four decimal places and the final answer to the nearest dollar.Assume the sales mix remains unchanged.)
5. Prove your answer to Requirement 4 by preparing a contribution marginincome statement with a 20% increase in total sales. (The sales mix remainsunchanged.)
What are the three approaches to calculating the sales required to achieve the breakeven point? Give the formula for each one.
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