An auto plant that costs $$150$ million to build can produce a line of flex$-$fuel cars that will produce cash flows with a present value of $$200$ million if the line is successful but only $$80$ million if it is unsuccessful. You believe that the probability of success is only about $50\%.$ You will learn whether the line is successful immediately after building the plant.a$-1.$ Calculate the expected NPV$.$Note: Do not round intermediate calculations. A negative amount should be indicated by a minus sign. Enter your answers in millions rounded to $1$ decimal place.a$-2.$ Would you build the plant?Suppose that the plant can be sold for $$140$ million to another automaker if the auto line is not successful.b$-1.$ Calculate the expected NPV$.$Note: Do not round intermediate calculations. A negative amount should be indicated by a minus sign. Enter your answers in millions rounded to $1$ decimal place.b$-2.$ Would you build the plant?