Selected sales and operating data for three divisions of different structural engineering firms aregiven as follows: Division A Division B Division C Sales $ 6,900,000 10,900,000 10,000,000 Average operating assets 1,725,000 5,450,000 2,500,000 Net operating income 414,000 1,090,000 325,000 Minimum required rate of return19.00 % 20.00 % 16.00 % A. Compute the return on investment (ROI) for each division using the formula stated in terms of margin and turnover. B. Compute the residual income (loss) for each division.

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andromache andromache · Answer 1 · 2021-07-17T02:44:51+02:00

Answer and Explanation:

The computation is shown below:

A.

Return on investment = Margin × Turnover

Now

= (Net operating income ÷Sales) × (Sales ÷ Average operating assets)

Division A = ($414,000 ÷ $6,900,000) × ($6,900,000 ÷ $1,725,000)

= 6% × 4

= 24.00%

Division B = ($1,090,000 ÷ $10,900,000) × ($10,900,000 ÷ $5,450,000)

= 10% × 2

= 20.00%

Division C = ($325,000 ÷ $10,000,000) × ($10,000,000 ÷ $2,500,000)

= 3.25 × 4

= 13.00%

B.

Residual Income = Net operating income - (Minimum required rate of return × Average operating assets)

Division A = $414,000 - (19% × $1,725,000)

= $414,000 - $327,750

= $86,250

Division B = $1,090,000 - (20% × $5,450,000)

= $1,090,000 - $1,090,000

= $0

Division C = $325,000 - (16% × $2,500,000)

= $325,000 - $400,000

= ($75,000)