Question

For nearly 20 years, Specialized Coatings has provided painting and galvanizing services for manufacturers in its region. Manufacturers of various metal products have relied on the quality and quick turnaround time provided by Specialized Coatings and its 20 skilled employees ty During the last year, as a result of a sharp upturn in the economy, the companys sales have increased by 30% relative to the previous year. The company has not been able to increase its capacity fast enough, so Specialized Coatings has had to turn work away because it cannot keep up with customer requests. Top management is considering the purchase of a sophisticated robotic painting booth. The booth would represent a considerable move in the direction of automation versus manual labor. If Specialized Coatings purchases the booth, it would most likely lay off 15 of its skilled painters.
To analyze the decision, the company compiled production information from the most recent year and then prepared a parallel compilation assuming that the company would purchase the new equipment and lay off the workers. Those data are shown below. As you can see, the company projects that during the last year it would have been far more profitable if it had used the automated approach. Current Approach Approach Automated Sales Variable costs Contribution margin Fixed costs Net income $2,240,000 2,240,000 1,120,000 1,120,000 896,000 $224,000 1,680,000 560,000 426,000 $134,000 Compute the contribution margin ratio under each approach. (Round
ratios to 0 decimal places, eg, 15%.) Current approach Automated approach Contribution margin ratio Compute the break-even point in sales dollars under each approach. Current approach Automated approach Break-even points in sales dollars Using the current level of sales, compute the margin of safety ratio under each approach. (Round ratios to 0 decimal places, e.g. 15%.)
Current approach Automated approach Margin of safety ratio Determine the degree of operating leverage for each approach at current sales levels. (Round answers to 2 decimal places, e.g. 2.25.) Current approach Automated approach Degree of operating leverage How much would the companys net income decline under each approach with a 10% decline in sales? (Round answers to 1 decimal place, eg. 22.5%.)
) % for For a 10% drop in sales net income would Current approach by For a 10% drop in sales net income would Automated approach by C 0 % for At what level of sales would the companys net income be the same under either approach? Net income would be equal to $( sales
1 0
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Answer #1

The answers are given below:

a. Contribution margin ratio: Contribution Margin / Sales x 100
Current Approach: $ 560,000 / $ 2,240,000 x 100 = 25%
Automated Approach: $ 1,120,000 / $ 2,240,000 x 100 = 50%
b. Break-even sales dollars: Fixed Costs / Contribution Margin Ratio
Current Approach: $ 426,000 / 25% = $ 1,704000
Automated Approach : $ 896,000 / 50% = $ 1,792000
c. Margin of safety ratio : ( Actual Sales - Break-even sales) / Actual Sales x 100
Current Approach : $ ( 2,240,000 - 1,704,000) / 2,240,000 x 100 = 24%
Automated Approach : $ ( 2,240,000 - 1,792,000) / 2,240,000 x 100 = 20%
d. Degree of operating leverage: Contribution Margin / Net Income
Current Approach: $ 560,000 / $ 134,000 = 4.17
Automated Approach: $ 896,000 / $ 224,000 = 4
If there is a 10% decline in sales, decline in net income for
Current Approach : 10% x 4.17 = 41.7%
Automated Approach : 10% x 4 = 40%
e. Let the level of sales be S.
Net Income = S x Contribution Margin Ratio - Fixed Cost
0.25 S - 426,000 = 0.5 S - 896,000
S = $ 1,880,000
At a sales level of $ 1,880,000, the net income will be $ 44,000 under either approach.
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