Selected sales and operating data for three divisions of different structural engineering firms are given as follows: Division A Division B Division C Sales $ 5,100,000 $ 9,100,000 $ 8,200,000 Average operating assets $ 1,020,000 $ 2,275,000 $ 1,640,000 Net operating income $ 214,200 $ 746,200 $ 118,900 Minimum required rate of return 17.00 % 32.80 % 14.00 % Required: 1. Compute the return on investment (ROI) for each division using the formula stated in terms of margin and turnover. 2. Compute the residual income (loss) for each division. 3. Assume that each division is presented with an investment opportunity that would yield a 19% rate of return. a. If performance is being measured by ROI, which division or divisions will probably accept or reject the opportunity? b. If performance is being measured by residual income, which division or divisions will probably accept or reject the opportunity

1. Return on Investment = Net operating income (NOI)/Average operating assets (AOA) * 100

Division A = 21%

Division B = 32.8%

Division C = 7.25%

2. Residual income (loss) = Operating Income - (Operating Assets x Target Rate of Return)

Division A = $40,800

Division B = $0

Division C = ($110,700)

3-a. If performance is being measured by ROI, Divisions A and C will accept the opportunity, while Division B will reject it because the actual rate of return of 19% is less than the minimum required rate of return of 32.8%.

3-b. Divisions A and C will accept the opportunity, while Division B will reject it.

Explanation:

a) Data and Calculations:

Selected sales and operating data for three divisions of different structural engineering firms are given as follows:

                                                 Division A       Division B       Division C

Sales                                      $ 5,100,000    $ 9,100,000   $ 8,200,000

Average operating assets    $ 1,020,000   $ 2,275,000    $ 1,640,000

Net operating income              $ 214,200      $ 746,200        $ 118,900

Minimum required rate of return 17.00 %          32.80 %           14.00 %

1. Return on Investment = Net operating income (NOI)/Average operating assets (AOA) * 100

=                                                      21%                  32.8%            7.25%

Division A = 21% ($214,200/$1,020,000 * 100)

Division B = 32.8% ($746,200/$2,275,000 * 100)

Division C = 7.25% ( $118,900/$1,640,000 * 100)

2. Residual income (loss) = Operating Income - (Operating Assets x Target Rate of Return)

Division A = $40,800 ($214,200 - ($1,020,000 * 17%) )

Division B = $0 ($746,200 - ($2,275,000 * 32.8%))

Division C =($110,700) ( $118,900 - ($1,640,000 * 14%))

Investment opportunity that would yield a 19% rate of return:

                                                Division A       Division B       Division C

Sales                                      $ 5,100,000    $ 9,100,000   $ 8,200,000

Average operating assets    $ 1,020,000   $ 2,275,000    $ 1,640,000

Net operating income (19%)    $ 193,800      $ 432,250        $ 311,600

Minimum required rate of return 17.00 %          32.80 %           14.00 %

3-a. If performance is being measured by ROI, Divisions A and C will accept the opportunity, while Division B will reject it because the actual rate of return of 19% is less than the minimum required rate of return of 32.8%.

3-b. Divisions A and C will accept the opportunity, while Division B will reject it.

Residual income (loss) = Operating Income - (Operating Assets x Target Rate of Return)

Division A = $20,400 ($193,800 -  ($1,020,000 * 17%))

Division B = ($313,950) ($432,250 - ($2,275,000 * 32.8%))

Division C = $82,600 ($311,600 - ($1,640,000 * 14%))

1   all nations face the problem of scarcity because there are limited resources and unlimited wants. nations do not have enough factors of production to produce everything that their population wants. entrepreneurial resources initiate businesses to make new goods and services; labor resources produce goods and services.

2 there are four factors of production: natural resources, labor resources, capital resources, and entrepreneurial resources. natural resources are raw materials from nature that are used to produce goods. trees, water, and grains are natural resources. some natural resources, such as wheat and cattle, are renewable

3 wants

things that you do not need to have in order to survive, but would like to have

needs

things that you must have in order to survive

goods

physical products

services

tasks that a business perform for customers

resources

items that people can use to make or obtain what they need or want

determine

to settle or decide by choice of alternatives or possiblities

4 i really dont know