JT Engineering is deciding between two machines. Machine A costs $352,000, with inflows of $209,000 and outflows of $154,000. Machine B costs $380,000, with inflows of $231,000 and outflows of $166,000. Both have a 10-year life and no salvage value. JT uses the straight-line method for depreciation and requires a return of 12%. How desirable are the machines? Use annual rate of return to determine the answer.

Respuesta :

Answer:

Machine B is preferrable with annual rate of return of 14.21%,higher than the required annual rate of return of 12%

Explanation:

Annual rate of return of both machine needs to ascertained ,then compared with the required annual rate of rate of 12% in order to determine  which machine gives at least 12% annual rate of return and worth investing in.

Annual rate of return=net income/average investment

net income=inflows-outflows-depreciation

Machine A average investment=$352,000/2=$176,000

Machine B average investment=$380,000/2=$190,000

Machine A net income=$209,000-$154,000-($355,000/10)

                                      =$209,000-$154,000-$35,500

                                       =$19,500

Machine B net income=$231,000-$166,000-($380,000/10)

                                      =$231,000-$166,000-$38,000

                                       =$27,000

Machine A annual rate of return=$19,500/$176,000

                                                     =11.08%

Machine B annual rate of return=$27,000/$190,000

                                                     =14.21%

The Machine B is more preferable because its annual rate of return (14.21%)  is higher than the required annual rate of return (12%).

The Annual rate of return of both machine needs to known to encourage comparison with the  required annual rate of return

Given Information

The required annual rate of rate = 12%

Machine A average investment = $352,000/2

Machine A average investment = $176,000

Machine B average investment = $380,000/2

Machine B average investment = $190,000

  • Net income = Inflows - Outflows - Depreciation

Machine A Net income = $209,000 - $154,000 - ($355,000/10)

Machine A Net income = $209,000 - $154,000 - $35,500

Machine A Net income =$19,500

Machine B Net income = $231,000 - $166,000 - ($380,000/10)

Machine B Net income = $231,000 - $166,000 - $38,000

Machine B Net income = $27,000

  • Annual rate of return = Net income/Average investment

Machine A Annual rate of return = $19,500/$176,000

Machine A Annual rate of return = 11.08%

Machine B Annual rate of return =$27,000/$190,000

Machine A Annual rate of return = 14.21%

Therefore, the Machine B is more preferable because its annual rate of return (14.21%)  is higher than the required annual rate of return (12%).

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