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Manual System Computerized System Degree of Operating Leverage LINK TO TEXT Incr

ID: 2465836 • Letter: M

Question

Manual
System

Computerized
System

Degree of Operating Leverage

LINK TO TEXT

Increase in Net Income

LINK TO TEXT

Margin of Safety ratio

A. Computerized System

B. Manual System

Casas Modernas of Juarez, Mexico, is contemplating a major change in its cost structure. Currently, all of its drafting work is performed by skilled draftsmen. Rafael Jiminez, Casas’ owner, is considering replacing the draftsmen with a computerized drafting system. However, before making the change, Rafael would like to know the consequences of the change, since the volume of business varies significantly from year to year. Shown below are CVP income statements for each alternative.

Manual
System

Computerized
System

Sales $1,770,000 $1,770,000 Variable costs 1,416,000 708,000 Contribution margin 354,000 1,062,000 Fixed costs 125,613 833,613 Net income $228,387 $228,387

Explanation / Answer

1) Degree of operating leverage =contribution margin / operating income

Manual System = $354000 / $228387 = 1.55

Computerized system = $1062000 / $228387 = 4.65

2)

Degree of operating leverage = change in operating income / change in sales

Change in sales = 116000 / 1770000 =6.554%

For Manual System

Change in operating income = 1.55 x change in sales = 1.55 x 6.554% = 9.831%

Increase in net operating income = 9.831% x 228387 = $22453

For Computerized System

Change in operating income = 4.65 x 6.554% = $539400 = 30.475%

Increase in operating income = 30.475% x $228387 = $69600

Computerized system will produce the higher net income due to change in sales because of its greater operating leverage.

3)

Margin of safety = Profit / Contribution margin ratio

Manual System

Contribution Margin ratio = Contribution / sales = $354000 / $1770000 = 0.20

Margin of safety = $228387 / 0.20 = $1141935

Computerized system

Contribution Margin ratio = Contribution / sales = $1062000 / $1770000 = 0.60

Margin of safety = $228387 / 0.60 = $380645

Manual system will sustain greater decline in sales as its margin of safety is higher than the computerized system

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