Expando, Inc., is considering the possibility of building an additional factory that would produce a new addition to its product line. The company is currently considering two options. The first is a small facility that it could build at a cost of $$7\mathrm{.}5$ million. If demand for new products is low, the company expects to receive $$12$ million in discounted revenues $($present value of future revenues$)$ with the small facility. On the other hand, if demand is high, it expects $$15$ million in discounted revenues using the small facility. The second option is to build a large factory at a cost of $$10$ million. Were demand to be low, the company would expect $$12$ million in discounted revenues with the large plant. If demand is high, the company estimates that the discounted revenues would be $$20$ million. In either case, the probability of demand being high is $\mathrm{.}35,$ and the probability of it being low is $\mathrm{.}65.$ Not constructing a new factory would result in no additional revenue being generated because the current factories cannot produce these new products. Construct a decision tree to help Expando make the best decision. a$)$ Which decision should Expando, Inc. make? b$)$ Why? Construct a decision tree to help Expando make the best decision.