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The following information is available about the status and operations of the Ma

ID: 2478376 • Letter: T

Question

The following information is available about the status and operations of the Manufacturing Division of Taylor Company, which has a hurdle rate of 5%. Divisional identifiable average assets $ 410,000 Divisional income from operations $ 17,924 Divisional sales revenue $ 371,171

a. Compute the ROI for the Manufacturing Division. (Round your answer to 1 decimal place.)

b. Break the Manufacturing Division ROI down using the DuPont formula. (Round your answers to 2 decimal places.)

c. Compute the residual income for the Manufacturing Division. (Round your answer to the nearest dollar amount.)

Explanation / Answer

1

Calculation of ROI for the Manufacturing Division:

Formula :

ROI = Divisional income from operations / Equity

= $ 17,924 / $ 410,000 =

4.37%

(Assuming Total Assets = Total Equity)

2

Calculation of Manufacturing Division ROI using the DuPont formula:

DuPont formula:

ROI = Profit Margin * Total Assets Turnover * Financial Leverage

Profit Margin = Divisional income from operations / Divisional sales revenue

= $ 17,924 / $ 371,171 =

4.83%

Total Assets Turnover = Divisional sales revenue / Divisional identifiable average assets

= $ 371,171 / $ 410,000   =

          0.91

Financial Leverage = Total Assets / Total Equity =

1

ROI = 4.85%*0.91*1 =

4.37%

3

Calculation of residual income for the Manufacturing Division:

Divisional identifiable average assets

$410,000

Hurdle rate

5%

Normal Profits = 410000*5% =

$20,500

Divisional income from operations

$17,924

Residual income for the Manufacturing Division = 17924 - 20500 =

($2,576)

1

Calculation of ROI for the Manufacturing Division:

Formula :

ROI = Divisional income from operations / Equity

= $ 17,924 / $ 410,000 =

4.37%

(Assuming Total Assets = Total Equity)

2

Calculation of Manufacturing Division ROI using the DuPont formula:

DuPont formula:

ROI = Profit Margin * Total Assets Turnover * Financial Leverage

Profit Margin = Divisional income from operations / Divisional sales revenue

= $ 17,924 / $ 371,171 =

4.83%

Total Assets Turnover = Divisional sales revenue / Divisional identifiable average assets

= $ 371,171 / $ 410,000   =

          0.91

Financial Leverage = Total Assets / Total Equity =

1

ROI = 4.85%*0.91*1 =

4.37%

3

Calculation of residual income for the Manufacturing Division:

Divisional identifiable average assets

$410,000

Hurdle rate

5%

Normal Profits = 410000*5% =

$20,500

Divisional income from operations

$17,924

Residual income for the Manufacturing Division = 17924 - 20500 =

($2,576)