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\"I know headquarters wants us to add that new product line,\" said Dell Havasi,

ID: 2590393 • Letter: #

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 ROls. Operating results for the company's Office Products Division for the most recent year are given below: Sales Variable expenses Contribution margin Fixed expenses Net operating income Divisional operating assets $ 21,600,000 13,622,600 7,977,400 6,010,000 $ 1,967,400 $ 4,499,200 The company had an overall return on investment (ROI) of 17.00% last year (considering all divisions). The Office Products Division has an opportunity to add a new product line that would require an additional investment in operating assets of $2,326,200. The cost and revenue characteristics of the new product line per year would be Sales Variable expenses Fixed expenses $ 9,300,000 65% of sales $2,557,400

Explanation / Answer

Billiings Company

Office Product Division’s ROI

Present

New Line

Total

Sales

$21,600,000

$9,300,000

$30,900,000

Net Operating Income

$1,967,400

$697,600

$2,665,000

Operating Assets

$4,499,200

$2,326,200

$6,825,400

Margin

9.11%

7.50%

8.62%

Turnover

4.8 times

3.99 times

4.53 times

ROI

43.73%

29.93%

39.02%

Present

New Line

Total

Sales

$21,600,000

$9,300,000

$30,900,000

Variable Expenses

$13,622,600

$6,045,000

$19,667,600

Contribution margin

$7,977,400

$3,255,000

$11,232,400

Fixed expenses

$6,010,000

$2,557,400

$8,567,400

Net Operating Income

$1,967,400

$697,600

$2,665,000

Operating assets

$4,499,200

$2,326,200

$6,825,400

Calculation of residual income:

Present

New Line

Total

Operating Assets

$4,499,200

$2,326,200

$6,825,400

Minimum Required Return

14%

14%

14%

Minimum net operating income

$629,888

$325,668

$955,556

Actual net operating income

$1,967,400

$697,600

$2,665,000

Minimum net operating income

$629,888

$325,668

$955,556

Residual income

$1,337,512

$371,932

$1,709,444

Notes:

Margin = net operating income/sales

Present = (1,967,400/21,600,000) x 100 = 9.11%

Existing = (697,600/9,300,000) x100 = 7.5%

Total = (2,665,000/30,900,000) x 100 = 8.62%

Turnover = sales/operating assets

Present = 21,600,000/4,499,200 = 4.8 times

Existing = 9,300,000/2,326,600 = 3.99 times

Total = 30,900,000/6,825,400 = 4.53 times

ROI = margin x turnover

Present = 9.11% x 4.8 = 43.73%

Existing = 7.5% x 3.99 = 29.93%

Total = 8.62% x 4.53 = 39.02%

Present = 4,499,200 x 14% = $629,888

Existing = 2,326,200 x 14% = $325,668

Total = 6,825,400 x 14% = $955,556

Present = 1,967,400 – 629,888 = $1,337,512

Existing = 697,600 – 325,668 = $371,932

Total = 2,665,000 – 955,556 = $1,709,444

Office Product Division’s ROI

Present

New Line

Total

Sales

$21,600,000

$9,300,000

$30,900,000

Net Operating Income

$1,967,400

$697,600

$2,665,000

Operating Assets

$4,499,200

$2,326,200

$6,825,400

Margin

9.11%

7.50%

8.62%

Turnover

4.8 times

3.99 times

4.53 times

ROI

43.73%

29.93%

39.02%