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please show me step by step this problem? Problem 10-18 Return on Investment (ROI) and Residual...

please show me step by step this problem?

Problem 10-18 Return on Investment (ROI) and Residual Income [LO10-1, LO10-2]

“I know headquarters wants us to add that new product line,” said Dell Havasi, manager of Billings Company’s Office Products Division. “But I want to see the numbers before I make any move. Our division’s return on investment (ROI) has led the company for three years, and I don’t want any letdown.”

Billings Company is a decentralized wholesaler with five autonomous divisions. The divisions are evaluated on the basis of ROI, with year-end bonuses given to the divisional managers who have the highest ROIs. Operating results for the company’s Office Products Division for this year are given below:

Sales $ 10,000,000
Variable expenses 6,000,000
Contribution margin 4,000,000
Fixed expenses 3,200,000
Net operating income $ 800,000
Divisional average operating assets $ 4,000,000

The company had an overall return on investment (ROI) of 15% this year (considering all divisions). Next year the Office Products Division has an opportunity to add a new product line that would require an additional investment that would increase average operating assets by $1,000,000. The cost and revenue characteristics of the new product line per year would be:

Sales $2,000,000
Variable expenses 60% of sales
Fixed expenses $640,000

Required:

1. Compute the Office Products Division’s ROI for this year.

2. Compute the Office Products Division’s ROI for the new product line by itself.

3. Compute the Office Products Division’s ROI for next year assuming that it performs the same as this year and adds the new product line.

4. If you were in Dell Havasi’s position, would you accept or reject the new product line?

5. Why do you suppose headquarters is anxious for the Office Products Division to add the new product line?

6. Suppose that the company’s minimum required rate of return on operating assets is 12% and that performance is evaluated using residual income.

a. Compute the Office Products Division’s residual income for this year.

b. Compute the Office Products Division’s residual income for the new product line by itself.

c. Compute the Office Products Division’s residual income for next year assuming that it performs the same as this year and adds the new product line.

d. Using the residual income approach, if you were in Dell Havasi’s position, would you accept or reject the new product line?

Solutions

Expert Solution

income on new line
contribution (2,000,000*40%)= 800,000
less Fixed expense -640,000
Net operating income 160000
1,2&3) present new line total
Sales 10,000,000 2,000,000 12,000,000
Net operating income 800,000 160,000 960,000
operating assets 4,000,000 1,000,000 5,000,000
margin 8.00% 8.00% 8.00%
turnover 2.50 2.00 2.40
ROI 20.00% 16.00% 19.20%
where margin = net operating income/sales
turnover = sale/average operating assets
ROI = margin *turnover
4) Reject
5) Addint the new product line would improve overall ROI
6) Residual income = net operating income -(average assets *min rate or return)
present new line total
operating assets 4,000,000 1,000,000 5,000,000
minimum required return 12% 12% 12%
min net opeerating income 480000 120000 600000
actual net operating income 800,000 160,000 960,000
min net operating income 480000 120000 600000
residual income 320,000 40,000 360,000
b) Accept

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