In: Accounting
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 “I know headquarters wants us to add that new product line,” said Brian Stettler, manager of Sparks Products’ Central Division. “But I want to see the numbers before I make a move. Our division’s return on investment (ROI) has led the company for three years, and I don’t want any letdown.”  | 
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 Sparks Products is a decentralized wholesaler with four autonomous divisions. The divisions are evaluated on the basis of ROI, with year-end bonuses given to divisional managers who have the highest ROI. Operating results for the company’s Central Division for last year are given below:  | 
| Sales | $ | 22,000,000 | 
| Variable expenses | 14,000,000 | |
| Contribution margin | 8,000,000 | |
| Fixed expenses | 6,174,000 | |
| Net operating income | $ | 1,826,000 | 
| Divisional operating assets | $ | 5,500,000 | 
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 The company had an overall ROI of 18% last year (considering all divisions). The company’s Central Division has an opportunity to add a new product line that would require an investment of $3,430,000. The cost and revenue characteristics of the new product line per year would be as follows:  | 
| Sales | $ 10,290,000 | 
| Variable expenses | 65% of sales | 
| Fixed expenses | $ 2,870,910 | 
| Required: | |
| 1. | 
 Compute the Central Division’s ROI for last year; also compute the ROI as it would appear if the new product line is added. (Do not round intermediate percentage values. Round your final answers to 2 decimal places (i.e., 0.1234 should be entered as 12.34).)  | 
| 2. | If you were in Brian Stettler’s position, would you accept or reject the new product line? | ||||
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| 3. | 
 Why do you suppose headquarters is anxious for the Central Division to add the new product line?  | 
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| 4. | 
 Suppose that the company’s minimum required rate of return on operating assets is 15% and that performance is evaluated using residual income.  | 
| a. | 
 Compute the Central Division’s residual income for last year; also compute the residual income as it would appear if the new product line is added.  | 
| b. | 
 Under these circumstances, if you were in Brian Stettler‘s position would you accept or reject the new product line?  | 
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References
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| Net product line net operating income = 10290000*(1-65%)-2870910= $730590 | |||
| Margin = Net operating income/Sales | |||
| Turnover = Sales/Operating assets | |||
| ROI = Margin*Turnover | |||
| Present | New line | Total | |
| Sales | 22000000 | 10290000 | 32290000 | 
| Net operating income | 1826000 | 730590 | 2556590 | 
| Operating assets | 5500000 | 3430000 | 8930000 | 
| Margin | 8.30% | 7.10% | 7.92% | 
| Turnover | 4.00 | 3.00 | 3.62 | 
| ROI | 33.20% | 21.30% | 28.63% | 
| 1 | |||
| ROI for this year = 33.20% | |||
| ROI for new product line alone = 21.30% | |||
| ROI for next year(Total) = 28.63% | |||
| 2 | |||
| Reject, as ROI decreases | |||
| 3 | |||
| Adding the new product line would increase company's overall ROI | |||
| 4 | |||
| Present | New line | Total | |
| Operating assets | 5500000 | 3430000 | 8930000 | 
| Minimum required return | 15% | 15% | 15% | 
| Minimum Net operating income | 825000 | 514500 | 1339500 | 
| Actual Net operating income | 1826000 | 730590 | 2556590 | 
| Minimum Net operating income | 825000 | 514500 | 1339500 | 
| Residual income | 1001000 | 216090 | 1217090 | 
| a | |||
| Residual income for this year = $1001000 | |||
| Residual income for new product line alone =$216090 | |||
| Residual income for next year(Total) = $1217090 | |||
| b | |||
| Accept, as residual income increases | |||