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The following data pertains to Timmins Company\'s operations last year: Return o

ID: 2458349 • Letter: T

Question

The following data pertains to Timmins Company's operations last year:

Return on investment (ROI).............

20%

Sales..................................................

$800,000

Margin...............................................

5%

Minimum required rate of return......

16%

Required:

a.Compute the company's average operating assets.

b.Compute the company's residual income for the year.

Return on investment (ROI).............

20%

Sales..................................................

$800,000

Margin...............................................

5%

Minimum required rate of return......

16%

Explanation / Answer

(a) ROI = Margin × Turnover

=> 20% = 5% × Turnover

=> Turnover = 20% ÷ 5% = 4

Turnover = Sales ÷ Average operating assets

=> 4 = $800,000 ÷ Average operating assets

=>Average operating assets = $800,000 ÷ 4 = $200,000

(b) Before the residual income can be computed, we must first compute the company’s net operating income for the year:

Margin = Net operating income ÷ Sales 5%

=> Net operating income ÷ $800,000 Net operating income = 5% × $800,000 = $40,000

Minimum required net operating income = Average operating asset * Minimum required return

= $200,000 * 16% = $32,000

Actual Net Operating Income = $40,000

Residual Income = $40,000 - $32,000 = $8,000

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