Answer:
1. Machine A
Net present value $2,996
Profitability index 1.04
Machine B
Net present value($19,166)
Profitability index = 0.89
B. Machine A
Explanation:
Calculation for the net present value and profitability index of each machine
MACHINE A
NET PRESENT VALUE
Cash Flows×9% Discount Factor=Present value
Present value of net annual cash flows($19,800-$5,130)×5.53482 =$81,196
Present value of salvage value$0 ×0.50187 =$0 $81,196
Capital investment $78,200
Net present value $2,996
($81,196-$78,200)
MACHINE APROFITABILITY INDEX
Profitability index = $81,196 / $78,200
Profitability index = 1.04
MACHINE A
NET PRESENT VALUE
Cash Flows×9% Discount Factor=Present value
Present value of net annual cash flows ($39,600-$10,180) ×5.53482 =$162,834
Present value of salvage value$0 ×0.50187 =$0 $162,834
Capital investment $182,000
Net present value($19,166)
Profitability index = $162,834 / $182,000
Profitability index = 0.89
Therefore the net present value and profitability index of each machine are :
Machine A
Net present value $2,996
Profitability index 1.04
Machine B
Net present value($19,166)
Profitability index = 0.89
2. Based on the above calculation for both Machine And Machine B we can see that Machine B net present value is negative while, profitability index is also low which means that Machine B should not be Purchased and MACHINE A SHOULD BE PURCHASED.
