Required:

1. Compute the return on investment (ROI) for each division using the formula stated in terms of margin and turnover.

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

3. Assume that each division is presented with an investment opportunity that would yield a 15% rate of return.

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

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

Find below the variables missing from the question:

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

                                              Division ADivision BDivision C

Sales                               $5,800,000$9,800,000$8,900,000

Average operating assets$1,450,000$4,900,000$2,225,000

Net operating income         $284,200$872,200$191,350

Minimum required rate of return 18.00%17.80%15.00%

On the basis on return on investment Division A is preferred

On the basis of residual income Division A is also preferred

Explanation:

Return on investment is the net operating income compared to the average operating assets in the year:

Division A return on investment=$284,200/$1,450,000=19.6%

Division B return on investment=$872,200/$4,900,000=17.8%

Division C return on investment=$191,350/$2,225,000 =8.60%

Residual income=net operating income-(required rate of return*average operating assets

Division A residual income=$284,200-(18%*$1,450,000)=$23200

Division B residual income=$872,200-(17.80%*$4,900,000)=$0

Division C residual income=$191,350-(15%*$2,225,000)=$=$191,350-(15%*$2,225,000)

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