Question

“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	$	22,505,000
Variable expenses		14,105,500
Contribution margin		8,399,500
Fixed expenses		6,145,000
Net operating income	$	2,254,500
Divisional average operating assets	$	4,687,500

The company had an overall return on investment (ROI) of 17.00% 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 $3,261,000. The cost and revenue characteristics of the new product line per year would be:

Sales	$9,750,000
Variable expenses	65% of sales
Fixed expenses	$2,595,300

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.

6. Suppose that the company’s minimum required rate of return on operating assets is 14% 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.

Answer 1

Net product line net operating income = 9750000*(1-65%)-2595300= $817200
Margin = Net operating income/Sales
Turnover = Sales/Operating assets
ROI = Margin*Turnover
	Present	New line	Total
Sales	22505000	9750000	32255000
Net operating income	2254500	817200	3071700
Operating assets	4687500	3261000	7948500
Margin	10.02%	8.38%	9.52%
Turnover	4.80	2.99	4.06
ROI	48.10%	25.06%	38.65%
1
ROI for this year = 48.10%
2
ROI for new product line by itself = 25.06%
3
ROI for next year = 38.65%
6
	Present	New line	Total
Operating assets	4687500	3261000	7948500
Minimum required return	14%	14%	14%
Minimum Net operating income	656250	456540	1112790
Actual Net operating income	2254500	817200	3071700
Minimum Net operating income	656250	456540	1112790
Residual income	1598250	360660	1958910
a
Residual income for this year = $1598250
b
Residual income for new product line =$360660
c
Residual income for next year = $1958910