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Selected sales and operating data for three divisions of different structural engineering firms are given as follows: Divisio

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Answer #1

Answer 1.

Division A:

Margin = Net Operating Income / Sales
Margin = $317,200 / $6,100,000
Margin = 5.20%

Turnover = Sales / Average Operating Assets
Turnover = $6,100,000 / $1,525,000
Turnover = 4.00

Return on Investment = Margin * Turnover
Return on Investment = 5.20% * 4.00
Return on Investment = 20.80%

Division B:

Margin = Net Operating Income / Sales
Margin = $929,200 / $10,100,000
Margin = 9.20%

Turnover = Sales / Average Operating Assets
Turnover = $10,100,000 / $5,050,000
Turnover = 2.00

Return on Investment = Margin * Turnover
Return on Investment = 9.20% * 2.00
Return on Investment = 18.40%

Division C:

Margin = Net Operating Income / Sales
Margin = $225,400 / $9,200,000
Margin = 2.45%

Turnover = Sales / Average Operating Assets
Turnover = $9,200,000 / $2,300,000
Turnover = 4.00

Return on Investment = Margin * Turnover
Return on Investment = 2.45% * 4.00
Return on Investment = 9.80%

Answer 2.

Division A:

Residual Income = Net Operating Income - Minimum Required Return * Average Operating Assets
Residual Income = $317,200 - 15.00% * $1,525,000
Residual Income = $88,450

Division B:

Residual Income = Net Operating Income - Minimum Required Return * Average Operating Assets
Residual Income = $929,200 - 18.40% * $5,050,000
Residual Income = $0

Division C:

Residual Income = Net Operating Income - Minimum Required Return * Average Operating Assets
Residual Income = $225,400 - 12.00% * $2,300,000
Residual Income = -$50,600

Answer 3-a.

If rate of return of investment opportunity is 17.00%, then Division with ROI higher than 17.00% will reject this investment opportunity.

So, Division A and Division B will reject this investment opportunity and Division C will accept this investment opportunity.

Answer 3-b.

If rate of return of investment opportunity is 17.00%, then Division with minimum required rate of return higher than 17.00% will reject this investment opportunity.

So, Division B will reject this investment opportunity and Division A and Division C will accept this investment opportunity.

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