$($b$)$ Ford Automobiles is considering investing in a new manufacturing facility that will

cost $$10$ million. The facility is expected to have a useful life of $20$ years and generate

annual revenue of $$4$ million with an annual operating cost of $$1\mathrm{.}5$ million. The facility

will also require a major renovation at the end of the tenth year, which will cost $$5$

million. At the end of the $20-$year useful life, the facility can be sold for $$1$ million.

Assuming a required rate of return of $12\%,$ what is the annual worth of the investment in

the facility? Should the company invest in the facility?