Question

In: Accounting

Problem 5-29 Changes in Cost Structure; Break-Even Analysis; Operating Leverage; Margin of Safety [LO5-4, LO5-5, LO5-7,...

Problem 5-29 Changes in Cost Structure; Break-Even Analysis; Operating Leverage; Margin of Safety [LO5-4, LO5-5, LO5-7, LO5-8]

Morton Company’s contribution format income statement for last month is given below:

Sales (43,000 units × $23 per unit) $ 989,000
Variable expenses 692,300
Contribution margin 296,700
Fixed expenses 237,360
Net operating income $ 59,340

The industry in which Morton Company operates is quite sensitive to cyclical movements in the economy. Thus, profits vary considerably from year to year according to general economic conditions. The company has a large amount of unused capacity and is studying ways of improving profits.

Required:

1. New equipment has come onto the market that would allow Morton Company to automate a portion of its operations. Variable expenses would be reduced by $6.90 per unit. However, fixed expenses would increase to a total of $534,060 each month. Prepare two contribution format income statements, one showing present operations and one showing how operations would appear if the new equipment is purchased.

2. Refer to the income statements in (1). For the present operations and the proposed new operations, compute (a) the degree of operating leverage, (b) the break-even point in dollar sales, and (c) the margin of safety in dollars and the margin of safety percentage.

3. Refer again to the data in (1). As a manager, what factor would be paramount in your mind in deciding whether to purchase the new equipment? (Assume that enough funds are available to make the purchase.)

4. Refer to the original data. Rather than purchase new equipment, the marketing manager argues that the company’s marketing strategy should be changed. Rather than pay sales commissions, which are currently included in variable expenses, the company would pay salespersons fixed salaries and would invest heavily in advertising. The marketing manager claims this new approach would increase unit sales by 30% without any change in selling price; the company’s new monthly fixed expenses would be $378,787; and its net operating income would increase by 20%. Compute the company's break-even point in dollar sales under the new marketing strategy.

Solutions

Expert Solution

1.

Morton Company
Contribution Income Statement
Present Operations Proposed New Operations
Amount Per Unit % Amount Per Unit %
Sales 989000 23.00 100% 989000 23.00 100%
Variable expenses 692300 16.10 70% 395600 9.20 40%
Contribution margin 296700 6.90 30% 593400 13.80 60%
Fixed expenses 237360 534060
Net operating income 59340 59340

2.

Present Proposed
a. Degree of operating leverage 5 10
b. Break-even point in dollar sales $       791,200 $       890,100
c. Margin of safety in dollars $       197,800 $           98,900
Margin of safety percentage 20.00% 10.00%

Working:

Degree of operating leverage = Contribution margin/Net operating income

Break-even point in dollar sales = Fixed expenses/Contribution margin ratio

Margin of safety in dollars = Actual sales - Break-even sales

Margin of safety percentage = Margin of safety/Actual sales

3. Cyclical movements in the economy.

4.

Amount %
Sales (43000 x 1.3 x $23) 1285700 100%
Variable expenses ($1285700 - $449995) 835705 65%
Contribution margin ($378787 + $71208) 449995 35%
Fixed expenses 378787
Net operating income ($59340 x 1.2) 71208

New break-even point in dollar sales = Fixed expenses/Contribution margin ratio = $378787/35% = $1082248.571

Kindly round off as required since no instructions have been provided with the question regarding rounding off.


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