Question

The annual benefits of $4000 every year for three years may be obtained for an investment on a production equipment costing $20,000 with a salvage value of $5,000. If MARR is 6%, choose the right equation to determine the NPW.A) NPW = 20,000(F/P,6%,3) + 4,000(F/A, ^%, 3) + 5000B) NPW = -20000 + 4000(P/A,6%,3) + 5000(P/F,6%,3)C) NPW = 20,000(P/F,6%,3) + 4000(F/A,6%,3) + 5000D) -20000(P/F,6%,3) +4000(P/A,6%,3) + 5000(P/F,6%,3)

Answer 1

The right equation to determine the NPW is:

= B) NPW = -20000 + 4000(P/A,6%,3) + 5000(P/F,6%,3)

Step-by-step explanation:

a) Data:

Present value cost of production equipment = $20,000

Annual benefits = $4,000

Period of useful life = 3 years

MARR = 6%

Salvage value = $5,000

Present Value Annuity Factor for annual benefits for 3 years at 6% = 2.673

Present Value Factor for Salvage Value after 3 years at 6% = 0.840

Present Value Factor for the initial cost of investment = 1

Therefore, to obtain the NPW of the investment, the correct equation is:

B) NPW = -20000 + 4000(P/A,6%,3) + 5000(P/F,6%,3)

where NPW = Net Present Worth

P/A = Present Value Annuity Factor

P/F = Present Value Discount Factor