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5-38 Which process line should be built for a new chemical? The expected market for the chemical is 16 years. An 18% rate is
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Answer #1

PW of aleternative A = 14M + 3.5M(P/A, 18%, 16) + (14M - 2M)(P/F, 18%, 8) - 2M(P/F, 18%, 16)

                              = 14M + 3.5M(5.162) + 12M(0.2660) - 2M(0.0708)

                                  = 14M + 18.067M + 3.192M - 0.1416M

                                  = $35.12M

PW of aleternative B = 22M + 3M(P/A, 18%, 16) - 7.5M(P/F, 18%, 16)

                              = 22M + 3M(5.162) - 7.5M(0.0708)

                                  = 22M + 15.486M - 0.531M

                                  = $36.96M

Since alternative B has less PW, therefore, process line B should be built.

The present value of saving by the better choice = $36.96M - $35.12M = $1.84M

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