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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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