Question
Engineering Economics
A contractor has purchased a heavy machine for $1,500,000 that will reduce materials and labor costs by 5. 420,000 each year
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Answer #1

NPV=-1500000+((420000-1500000/5)*(1-40%)+1500000/5)/10%*(1-1/1.1^N)
For N=5:NPV=-1500000+((420000-1500000/5)*(1-40%)+1500000/5)/10%*(1-1/1.1^5)=-89827.32178

As NPV is negative, N>5:
Hence,
-89827.32178+(420000)*(1-40%)/10%*(1-1/1.1^t)*1/1.1^5=0
=>t=ln(1/(1-89827.32178/((420000)*(1-40%)/10%)*1.1^5))/ln(1.1)
=>t=0.620307298

Hence, the contractor must operate the equipment 5.620307298 or 6 years

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