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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.

Short Answer

Expert verified

Answer

1. Breakeven sales is $18,000

2. Franchising is a good idea, as sales are higher than breakeven sales.

Step by step solution

01

Calculation of contribution margin and contribution margin ratio


$
Sales price per bowl
10
Variable cost per bowl
(5)
Contribution margin per bowl
5

Contribution margin ratio (contribution margin per bowl/ sales price per unit x100)

50%
02

Calculation of breakeven sales in dollars

Breakevensalesindollars=FixedcostContributionmarginratio=$9,00050%=$18,000

03

Profitability analysis

Requiredsalesindollars=fixedcost+targetprofitContributionmarginratio=$9,000+$21,00050%=$60,000

Yes, franchising is a good idea because Mu is expecting a monthly sales of $61,500 and company’s breakeven point is $60,000.

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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.)

Question: Determining fixed cost per unit

For each total fixed cost listed below, determine the fixed cost per unit when sales are 50, 100, and 200 units.

Store rent $ 5,000

Manager’s salary 3,000

Equipment lease 500

Depreciation on fixtures 250

What is a company’s cost structure? How can cost structure affect a company’s profits?

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