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Bruno's is analyzing two machines to determine which one it should purchase. The company requires a rate of return of 14.6 percent and uses straight-line depreciation to a zero book value over a machine's life. Ignore bonus depreciation and taxes. Machine A has a cost of $318,000, annual operating costs of $8,700, and a life of 3 years. Machine B costs $247,000, has annual operating costs of $9,300, and a life of 2 years. Whichever machine is purchased will be replaced at the end of its useful life. Which machine should Bruno's purchase and why

Sagot :

Answer:

Machine A; because it will save the company about $13,406 a year

Explanation:

The computation is shown below:

Equate Annual Cost = PV of Cash Outflow ÷  PVAF (r%, n)

For Machine A:

Year            CF          PVF  at 14.6%           Disc CF

0            $3,18,000.00    1.0000                 $3,18,000.00

1              $ 8,700.00   0.8726                 $7,591.62

2             $8,700.00   0.7614               $6,624.45

3 $      8,700.00           0.6644 $      5,780.50

PV of Cash Outflow                               $3,37,996.58

PVAF(14.6%,3)                                          2.2985

PV of Cash Outflow                            $1,47,053.69

For Machine B:

Year             CF                PVF at 14.6%                  Disc CF

0              $2,47,000.00       1.0000                    $2,47,000.00

1                $9,300.00       0.8726                        $8,115.18

2               $9,300.00       0.7614                        $7,081.31

PV of Cash Outflow                                          $2,62,196.49

PVAF(14.6%,2)              1.6340

PV of Cash Outflow     $1,60,459.86

So the machine cost would be purchased as it lower the cost by $13,406.17

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