question archive Three mutually exclusive alternatives are being considered for the production equipment at a tissue paper factory

Three mutually exclusive alternatives are being considered for the production equipment at a tissue paper factory

Subject:FinancePrice:2.87 Bought7

Three mutually exclusive alternatives are being considered for the production equipment at a tissue paper factory. The estimated cash flows for each alternative are given in Table 2. (All cash flows are in thousands.) Which equipment alternative, if any, should be selected? The firm’s MARR is 18% per year. Please state your assumptions.

Table 2

  Alternative A Alternative B Alternative C
Capital investment $1900 $4,200 $7,500
Annual revenues $3,200 $5,900 $7,500
Annual cost $2,100 $4,000 $5,000
Market value at end of useful life $100 $400 $650
Useful life (years) 5 10 10

 

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Answer:

AW of option A = -1900*(A/P,18%,5) + 3200 - 2100 + 100*(A/F,18%,5)

= -1900*0.319778 + 3200 - 2100 + 100*0.139778

= 506.40

AW of option B = -4200*(A/P,18%,10) + 5900 - 4000 + 400*(A/F,18%,10)

= -4200*0.222515 + 5900 - 4000 + 400*0.042515

= 982.44

AW of option C = -7500*(A/P,18%,10) + 7500 - 5000 + 650*(A/F,18%,10)

= -7500*0.222515 + 7500 - 5000 + 650*0.042515

= 858.77

As AW of option B is highest, it should be selected