Question

Midwest Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $85,000 with a $7,000 residual value and a ten-year life. The equipment will replace one employee who has an average wage of $20,210 per year. In addition, the equipment will have operating and energy costs of $4,130 per year. Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment. If required, round to the nearest whole percent. %

Answer 1

18%

Step-by-step explanation:

This can be calculated as using the formula for calculating the average rate of return as follows:

Average rate of return = Average annual income / Average investment in equipment .................. (1)

To use equation (1), we first calculate the following:

Annual cost saving = $20,210

Annual depreciation = (Equipment cost - Residual value) / Useful number of years = ($85,000 - $7,000) / 10 = $7,800

Annual operating and energy costs = $4,130

Average annual income = Annual cost saving - Annual depreciation - Annual operating and energy costs = $20,210 - $7,800 - $4,130 = $8,280

Average investment in equipment = (Equipment cost + Residual value) / 2 = $46,000

Substituting the values for Average annual income and Average investment in equipment into equation (1), we have:

Average rate of return = $8,280 / $46,000 = 0.18, or 18%

Answer 2

17.89%

Step-by-step explanation:

Calculation Determine the average rate of return on the equipment

Using this formula

Average rate of return =Avarage annual income /Average investment

Where,

Avarage annual income=Annual saving - Annual depreciation- Annual operating costs

Average investment= (Beginning costs + Residual value)÷2

Let plug in the formula

Average rate of return=$20,210 - ($85,000- $7,000)÷10 years-$4,130/($85,000+$7,000)÷2

Average rate of return=$20,210-($78,000÷10)-$4,180/($92,000)÷2

Average rate of return=$20,210-$7,800-$4,180/$46,000

Average rate of return=$8,230/$46,000

Average rate of return=0.1789*100

Average rate of return=17.89%

Therefore the average rate of return on the equipment will be 17.89%