Chapter 20: Q21RQ (page 1120)
What effect does an increase in sales price have on contribution margin? An increase in fixed costs? An increase in variable costs?
Answer
There is an inverse relationship between variable cost and contribution margin.
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Mi Tierra Driving School charges \(680 per student to prepare and administer written and driving tests. Variable costs of \)408 per student include trainers’ wages, study materials, and gasoline. Annual fixed costs of \(63,920 include the training facility and fleet of cars.
Requirements
1. For each of the following independent situations, calculate the contribution margin per unit and the breakeven point in units by first referring to the original data provided:
a. Breakeven point with no change in information.
b. Decrease sales price to \)544 per student.
c. Decrease variable costs to \(340 per student.
d. Decrease fixed costs to \)53,040.
2. Compare the impact of changes in the sales price, variable costs, and fixed costs on the contribution margin per unit and the breakeven point in units.
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 CVP assumptions?
Owner Shan Mu is considering franchising her Noodles by Murestaurant concept. She believes people will pay \(10.00 for a large bowl ofnoodles. Variable costs are \)5.00 per bowl. Mu estimates monthly fixed costsfor a franchise at \(9,000.
Requirements
1. Use the contribution margin ratio approach to find a franchise’s breakevensales in dollars.
2. Mu believes most locations could generate \)61,500 in monthly sales. Isfranchising a good idea for Mu if franchisees want a minimum monthlyoperating income of $21,000? Explain your answer.
Use the following information to complete Short Exercises S20-16 and S20-17.
Wild Waters Swim Park sells individual and family tickets. With a ticket, each person receives a meal, three beverages, and unlimited use of the swimming pools. Wild Waters has the following ticket prices and variable costs for 2018:
Individual Family Sales price per ticket \( 50 \) 150 Variable cost per ticket 35 140
Wild Waters expects to sell one individual ticket for every four family tickets. Wild Waters’s total fixed costs are $27,500.
S20-17 Calculating breakeven point for two products
For 2019, Wild Waters expects a sales mix of four individual tickets for every one family ticket.
Requirements
1. Compute the new weighted-average contribution margin per ticket.
2. Calculate the total number of tickets Wild Waters must sell to break even.
3. Calculate the number of individual tickets and the number of family tickets the company must sell to break even.
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