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Westerville Company reported the following results from last year’s operations:

ID: 2717035 • Letter: W

Question

Westerville Company reported the following results from last year’s operations: Sales $ 1,500,000 Variable expenses 690,000 Contribution margin 810,000 Fixed expenses 435,000 Net operating income $ 375,000 Average operating assets $ 1,250,000 This year, the company has a $350,000 investment opportunity with the following cost and revenue characteristics: Sales $ 420,000 Contribution margin ratio 70 % of sales Fixed expenses $ 252,000 The company’s minimum required rate of return is 10%.

3. What is last year’s residual income?

What is the residual income of this year’s investment opportunity?

If the company pursues the investment opportunity and otherwise performs the same as last year, what residual income will it earn this year?

If Westerville’s chief executive officer will earn a bonus only if her residual income from this year exceeds her residual income from last year, would she pursue the investment opportunity?

-Assume that the contribution margin ratio of the investment opportunity was 65% instead of 70%. If Westerville’s Chief Executive Officer will earn a bonus only if her residual income from this year exceeds her residual income from last year, would she pursue the investment opportunity?

-Would the owners of the company want her to pursue the investment opportunity?

Explanation / Answer

Last Years Result Details Amt $ Sales                                   1,500,000 Variable expenses                                       690,000 Contribution margin                                       810,000 Fixed expenses                                       435,000 Net Opearating Income                                       375,000 ROI 30.0% Average opearing Assets                                   1,250,000 Minimum Required return@10%                                       125,000 Residual Income                                       250,000 Residual Income % 20.0% Investment opportunity Details Amt $ Sales                                       420,000 Variable expenses                                       126,000 Contribution margin                                       294,000 Fixed expenses                                       252,000 Net Opearating Income                                         42,000 ROI 12.0% Average opearing Assets                                       350,000 Minimum Required return@10%                                         35,000 Residual Income                                            7,000 Residual Income % 2.0% Investment plus opearions like last year Details Amt $ Sales                                   1,920,000 Variable expenses                                       816,000 Contribution margin                                   1,104,000 Fixed expenses                                       687,000 Net Opearating Income                                       417,000 ROI 26.1% Average opearing Assets                                   1,600,000 Minimum Required return@10%                                       160,000 Residual Income                                       257,000 Residual Income % 16.1% 1 As the residual income amt exceeds that of last year the CEO will pursue the same Residual Income if the contribution margin is 65% instead of 70 % in investments Investment plus opearions like last year Details Amt $ Sales                                   1,920,000 Variable expenses                                       837,000 Contribution margin                                   1,083,000 Fixed expenses                                       687,000 Net Opearating Income                                       396,000 ROI 25% Average opearing Assets                                   1,600,000 Minimum Required return@10%                                       160,000 Residual Income                                       236,000 Residual Income % 15% 2 In this case the residual Income will be less than previous years residual income So CEO will not pursue 3 The owners will also not want to pursue the investment opportunity if the contribution is 65% as the return will be less than the required rate or return.($14000 against $35000)

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