Preston Company is analyzing two alternative methods of producing its product. The production manager indicates that variable costs can be reduced 40% by installing a machine that automates production, but fixed costs would increase. Alternative 1 shows costs before installing the machine; Alternative 2 shows costs after the machine is installed. (a) Compute the break-even point in units and dollars for both alternatives. (b) Prepare a forecasted income statement for both alternatives assuming that 30,000 units will be sold. The statements should report sales, total variable costs, contribution margin, fixed costs, income before taxes, income taxes, and net income. Below the income statement, compute the degree of operating leverage. Which alternative would you recommend and

why??Alternative 1Alternative 2Variable costs per unit…………………$20?Fixed costs……………………………$200,000$274,400Selling price per unit…………………$40$40Income tax rate…………………………25%25%

What will be an ideal response?


(a)
Alternative 1 break-even in units = $200,000/$20 = 10,000 units
Alternative 1 break-even in dollars = $200,000/($20/$40) = $400,000
Alternative 2 break-even in units = $274,400/($40 - ($20 ? .6)) = 9,800 units
Alternative 1 break-even in dollars =$274,400/($28/$40) = $392,000

(b)

Alternative 1:??Alternative 2:??
Sales (30,000 ? $40)……$1,200,000?Sales (30,000 ? $40)……$1,200,000?
Variable costs ??Variable costs??
(30,000 ? $20)…………(600,000)(30,000 ? ($20 ? .6))……(360,000)
Contribution margin……$600,000?Contribution margin……$840,000?
Fixed costs……………… (200,000)Fixed costs……………… (274,400)
Income before tax………$400,000?Income before tax………$565,600?
Income taxes……………(100,000)Income taxes……………(141,400)
??????
Net Income……………$300,000?Net Income……………$424,200?

Degree of operating leverage:Degree of operating leverage:
$600,000/$400,000 = 1.5$840,000/$565,600 = 1.49

Preston Company should definitely go with Alternative 2. Break-even is lowered which would give the company a greater margin of safety if sales volume did start to decline. Net income is greatly improved using Alternative 2 at the current sales level. Degree of operating leverage is basically the same.

Business

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