$5.$ The Jacob Chemical Company is considering building a new potassium sulfate plant. The following cash outlays are required to complete the plant:

Year Cash Outlay

$0$ $$3,000,000$

$11,500,000$

$2700,000$

Jacob$$s cost of capital is $12$ percent, and its marginal tax rate is $40$ percent.

a$.$ Calculate the plant$$s net investment $($NINV$).$ Use Table II to answer the questions. ound your answer to the nearest dollar.

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b$.$What is the installed cost of the plant for tax purposes? Round your answer to the nearest dollar.

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