An investor is considering 3 different opportunities, Resident, Commercial #1 or Commercial #2. The payoff for each opportunity will depend on the size of the center, represented in the payoff table below. Selection Resident Commercial #1 Commercial #2 No center 400,000 600,000 -100,000 Size Medium center 1,600,000 500,000 400,000 Large center 1,200,000 1,400,000 1,500,000 If the probability of medium center is 0.45 and large center is 0.35, determine which investment should be made by the investor (show a decision tree)