You are thinking of making an investment in a new plant. The plant will generate revenues of $$1\mathrm{.}86$ million per year for as long as you maintain it$.$ You expect that the maintenance costs will start at $$104,160$ per year and will increase $4\%$ per year thereafter. Assume that all revenue and maintenance costs occur at the end of the year. You intend to run the plant 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 plant can be built and become operational immediately and the interest rate is $5\%$ 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\mathrm{.}6$ million to build, should you invest in the plant?

c$.$ If the plant costs $$18\mathrm{.}6$ million to build, should you invest in the plant? $($Select the best choice below.$)$

A$.$ The NPV is $-$$$5,285,497,$ which is negative, so you should not invest in the new plant.

B$.$ The NPV is $$12,308,649,$ which is positive so you should invest in the new plant.

C$.$ The NPV is $$30,908,649,$ which is positive, so you should invest in the new plant.

D$.$ The NPV is $$36,194,146,$ which is positive, so you should invest in the new plant.