Invenco, inc, is experiencing a substantial backlog, and the firm's management is considering two courses of action. the first is to arrange subcontracting that it could cost $5 million to establish the logistics and quality control mechanism. if demand for new products is low, the company expects to receive $8 million in revenues with the subcontracting approach. on the other hand, if demand is high, it expects $15 million in revenues with the subcontracting approach. the second option is to build a plant at a cost of $8 million. were demand to be low, the company would expect $10 million in revenues with the plant. if demands are high the company estimates that the discounted revenues would be $20 million. in either case, the probability of demand being high is .60, and the probability of it being low is .40. 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 invenco make the best decision. what is the expected net profit for building a plant?