Please see complete question below :
CPA-08299: Managers of the Doggie Food Co. want to add a bonus component to their compensation plan. They are trying to decide between return on investment (ROI) and residual income (RI) as the performance measure they will use. If Doggie adopts the RI performance measure, the relevant required rate of return would be 18%. One segment of Doggie is the Good Treats division, where the manager has invested in new equipment. The operating results from this equipment are as follows:
Revenues $ 80,000
Cost of goods sold 45,000
General and administrative expenses 15,000
Assuming that there are no income taxes, what would be the ROI and RI for this equipment that has an average value of $100,000?
ROI RI
Answer:
ROI = 20% and RI = $2000
Explanation:
Return On Investment(ROI) = Profit before Interest & Tax/Average Investment
Profit before Interest & Tax (PBIT) = Revenue -cost of goods sold- General & Adm expenses
PBIT= $ 80,000
- $45,000
-$15,000
= $20,000
ROI = ($20,000/100,000) * 100% = 20%
Residual Income = PBIT - (Average Investment* Required Rate of Return)
=$20,000- (18%* 100,000)
=$20,000- $18,000
= $2000