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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