Question

Construction and development of a uranium mine is being considered in order to take advantage of increase nuclear energy production. Construction would cost $450 million, spread evenly over three years (assume end of year cash flows). Production is expected to reach 6 million pounds of ore in the final year of construction, growing at 6 million pounds per year until reaching the maximum production level of 18 million pounds of ore per year. If revenues are $12 per pound, production costs 50 per pound, maximum production lasts 10 years, and remediation costs are $25 million at the end of the mines life, what is the present worth of the investment? The MARR is 18%
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Answer #1

Answer:

PW = $6,569,440.34 = $6.57 millions

Workings:

Year 1 of Construction Year 2 of Construction Final Year of Construction 10 Years of Maximum production 13 14 Year Construction cost (in million Remedial cost (in million Production (in million Revenue (in million Production cost (in million Cash flow (in million) PV Factor [1/(1+18%/year] Discounted cash flow (million) PW (in million) 12 ($150) ($150) 12 18 18 18 18 18 18 18 18 18 $72 $144 $216 $216$216$216 $216 $216 $216 $216 $216$216 $92 $13.61 $9.07 ($66) ($99(S99 $78 $117 $117 $117$117$117 $117 $117 $117 $117 ($99 ($99($991 ($99 ($99($99 $99) 0.847457б27| ($127.1 0.71818443| 0.608630873| 0.515788875| 0.437109| 0.370432| 0.313925| 0.266038| 0.225456| 0.191064| 0.161919| 0.13722| 0.116288| 0.0985 $40.23 $51.14 $43.34 $36 94 $16.05 $6.569440343Revenue = Production * $12 per pound

Production cost = Production * $5.50 per pound

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