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BAK Corp. is considering purchasing one of two new diagnostic machines. Either m

ID: 2744565 • Letter: B

Question

BAK Corp. is considering purchasing one of two new diagnostic machines. Either machine would make it possible for the company to bid on jobs that it currently isn’t equipped to do. Estimates regarding each machine are provided below.



Click here to view the factor table.

(For calculation purposes, use 5 decimal places as displayed in the factor table provided.)

Calculate the net present value and profitability index of each machine. Assume a 9% discount rate. (If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). Round answer for present value to 0 decimal places, e.g. 125 and profitability index to 2 decimal places, e.g. 10.50.)



Which machine should be purchased?

Machine A Machine B Original cost $77,820 $186,400 Estimated life 8 years 8 years Salvage value 0 0 Estimated annual cash inflows $19,910 $40,060 Estimated annual cash outflows $5,170 $9,950

Explanation / Answer

Statement showing Cash flows Machine A Machine B Particulars Time PVf@9% Amount PV Amount PV Cash Outflows                         -                     1.00                (77,820.00)                (77,820.00)              (186,400.00)              (186,400.00) PV of Cash outflows = PVCO                (77,820.00)              (186,400.00) Cash inflows                    1.00               0.9174                  14,740.00                        13,523                  30,110.00                        27,624 Cash inflows                    2.00               0.8417                  14,740.00                        12,406                  30,110.00                        25,343 Cash inflows                    3.00               0.7722                  14,740.00                        11,382                  30,110.00                        23,250 Cash inflows                    4.00               0.7084                  14,740.00                        10,442                  30,110.00                        21,331 Cash inflows                    5.00               0.6499                  14,740.00                           9,580                  30,110.00                        19,569 Cash inflows                    6.00               0.5963                  14,740.00                           8,789                  30,110.00                        17,954 Cash inflows                    7.00               0.5470                  14,740.00                           8,063                  30,110.00                        16,471 Cash inflows                    8.00               0.5019                  14,740.00                           7,398                  30,110.00                        15,111 PV of Cash Inflows =PVCI                        81,583                      166,653 NPV= PVCI - PVCO                           3,763                      (19,747) PI= PVCI / PVCO                             1.05                             0.89 Machine A should be purchased.