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Production equipment is to be replaced immediately as it is outdated. The two be

ID: 1190082 • Letter: P

Question

Production equipment is to be replaced immediately as it is outdated. The two best alternatives are a used equipment (A) and a new automated equipment (B). The economic estimates for each are shown in the table below. The MARR is 15% per year. Which alternative is preferred?

Alternative A

Alternative B

Capital investment

$14,000

$65,000

Annual expenses

$10,000

$9,000

Useful life (years)

5

10

Market value (at end of useful life)

$8,000

$13,000

Alternative A

Alternative B

Capital investment

$14,000

$65,000

Annual expenses

$10,000

$9,000

Useful life (years)

5

10

Market value (at end of useful life)

$8,000

$13,000

Explanation / Answer

Calculating Net Present Value (NPV) for each alternative

Alternative A: Using the formula for NPV calculation and annuity formula for annual expenses

-14000-10000[1-1/(1.15)^5]/0.15 + 8000/(1+0.15)^5 = -43,544

Alternative B:

-65000-9000[1-1/(1.15)^10]/0.15 + 13000/(1+0.15)^10 = -113,382

Therefore, alternative A would be better.

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