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You are thinking of making an investment in a new factory. The factory will generate revenues...

You are thinking of making an investment in a new factory. The factory will generate revenues of $ 1 comma 870 comma 000 per year for as long as you maintain it. You expect that the maintenance costs will start at $ 86 comma 020 per year and will increase 5 % per year thereafter. Assume that all revenue and maintenance costs occur at the end of the year. You intend to run the factory as long as it continues to make a positive cash flow​ (as long as the cash generated by the plant exceeds the maintenance​ costs). The factory can be built and become operational immediately and the interest rate is 6 % per year. a. What is the present value of the​ revenues? b. What is the present value of the maintenance​ costs? c. If the plant costs $ 18 comma 700 comma 000 to​ build, should you invest in the​ factory?

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