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.

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)

the correct answer is b.)

answer; descriptive statistics;