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Our company reported the following financial numbers for one of its divisions for the year; average total assets of $4,100,000; sales of $4,525,000; cost of goods sold of $2,550,000; and operating expenses of $1,372,000. Assume a target income of 10% of average invested assets.Compute residual income for the division:The investment center profit margin is:The investment turnover is:

Question

Our company reported the following financial numbers for one of its divisions for the year; average total assets of 4,100,000;salesof4,100,000; sales of 4,525,000; cost of goods sold of 2,550,000;andoperatingexpensesof2,550,000; and operating expenses of 1,372,000. Assume a target income of 10% of average invested assets.Compute residual income for the division:The investment center profit margin is:The investment turnover is:

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Solution

To answer this question, we first need to calculate a few key figures:

  1. Net Operating Income: This is calculated by subtracting the cost of goods sold and operating expenses from sales.

    Net Operating Income = Sales - Cost of Goods Sold - Operating Expenses Net Operating Income = 4,525,0004,525,000 - 2,550,000 - 1,372,000=1,372,000 = 603,000

  2. Investment Center Profit Margin: This is calculated by dividing the net operating income by sales.

    Investment Center Profit Margin = Net Operating Income / Sales Investment Center Profit Margin = 603,000/603,000 / 4,525,000 = 0.133 or 13.3%

  3. Investment Turnover: This is calculated by dividing sales by the average total assets.

    Investment Turnover = Sales / Average Total Assets Investment Turnover = 4,525,000/4,525,000 / 4,100,000 = 1.104

  4. Target Income: This is calculated by multiplying the average total assets by the target income rate.

    Target Income = Average Total Assets * Target Income Rate Target Income = 4,100,000104,100,000 * 10% = 410,000

  5. Residual Income: This is calculated by subtracting the target income from the net operating income.

    Residual Income = Net Operating Income - Target Income Residual Income = 603,000603,000 - 410,000 = $193,000

So, the residual income for the division is $193,000, the investment center profit margin is 13.3%, and the investment turnover is 1.104.

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