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(a) A construction company is deciding whether to build a road or a building at a new township site. The road will cost $50 million
(a) A construction company is deciding whether to build a road or a building at a new township site. The road will cost $50 million to build in 2019 and will require a re-construction every 5 years of the road's operation at the cost of $10 million. The annual maintenance costs of the road are $5 million per year for the first ten years of the road's operation and $7 million per year thereafter. The building will cost $100 million to build and will require major maintenance after every 10 years of operation at the cost of $10 million. The annual maintenance costs of the building are $2 million per year. Assume that: o o o All construction is completed in the first year (2019) The building and road operate from 2020-2040 The discount factor is 9% starting in 2020. i. Calculate the Net Present Cost using the accompanying spreadsheet. Check the calculations using the formulas below (note that you will need to account for the delayed start in the annuity calculation). FVn PV = (1 + i)" PV=A (1-11+ on) iii. Based on the Net Present Cost, which option should be selected
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