Selected sales and operating data for three divisions of different structural engineering firms are given as follows: Division A Division B Division C Sales $ 15,200,000 $ 35,200,000 $ 25,200,000 Average operating assets $ 3,040,000 $ 7,040,000 $ 5,040,000 Net operating income $ 668,800 $ 563,200 $ 655,200 Minimum required rate of return 9.00 % 9.50 % 13.00 % Required: 1. Compute the margin, turnover, and return on investment (ROI) for each division. 2. Compute the residual income (loss) for each division. 3. Assume that each division is presented with an investment opportunity that would yield a 10% rate of return. a. If performance is being measured by ROI, which division or divisions will probably accept the opportunity? b. If performance is being measured by residual income, which division or divisions will probably accept the opportunity?

1. See the calculations under part 1 below.

2. We have:

Division A's Residual Income (loss) = $395,200

Division B's Residual Income (loss) = (105,600)

Division C's Residual Income (loss) = $0

3.a. Only Division B will accept the investment opportunity.

3.b. Divisions A and B will accept the investment opportunity.

Explanation:

Given:

                                               Division A         Division B          Division C

Sales                                    $15,200,000    $35,200,000    $25,200,000

Average operating assets   $3,040,000      $7,040,000       $5,040,000

Net operating income             $668,800         $563,200          $655,200

Min. req'd rate of return               9.00%                9.50%               13.00%

Therefore, we have:

1. Compute the margin, turnover, and return on investment (ROI) for each division.

The formulae for calculating these are:

Margin = Net Operating Income / Sales

Turnover = Sales / Average Operating Assets

Return on Investment = Margin * Turnover

Therefore, we have:

Division A:

Margin = $668,800 / $15,200,000 = 0.0440, or 4.40%

Turnover = $15,200,000 / $3,040,000 = 5 times

Return on Investment = 4.40% * 5 = 22%

Division B:

Margin = $563,200 / $35,200,000 = 0.0160, or 1.60%

Turnover = $35,200,000 / $7,040,000 = 5 times

Return on Investment = 1.60% * 5 = 8%

Division C:

Margin = $655,200 / $25,200,000 = 0.0260, or 2.60%

Turnover = $25,200,000 / $5,040,000 = 5 times

Return on Investment = 2.60% * 5 = 13%

2. Compute the residual income (loss) for each division.

The formula for calculating this is:

Residual Income (loss) = Net Operating Income - Minimum Required Return * Average Operating Assets

Therefore, we have:

Division A's Residual Income (loss) = $668,800 - (9.00% * $3,040,000) = $395,200

Division B's Residual Income (loss) = $563,200 - (9.50% * $7,040,000) = (105,600.00)

Division C's Residual Income (loss) = $655,200 - (13.00% * $5,040,000) = $0

3-a. If performance is being measured by ROI, which division or divisions will probably accept the opportunity?

The decision criterion is for a division to accept the investment opportunity if its Return on Investment (ROI) is lower than 10%. Otherwise, reject.

Based on the Return on Investment results in part 1 above, only Division B will accept the investment opportunity.

3-b. If performance is being measured by residual income, which division or divisions will probably accept the opportunity?

The decision criterion is for a division to accept the investment opportunity if its minimum required rate of return is lower than 10%. Otherwise, reject.

Based on the information on minimum required rate of returns given in the question, Divisions A and B will accept the investment opportunity.