The manager's utility function for profit is U(T) = 10 ln(T), where | is the dollar amount of profit. The manager is considering a risky decision with the four possible profit outcomes shown below. The manager makes the following subjective assessments about the probability of each profit outcome: 3. Probability 0.05 0.10 0.35 0.50 Profit outcome Project A $1,000 $8,000 $12,000 $20,000 Profit outcome Project B $14,000 $14,000 $14,000 $14,000 a. What is the expected profit of Project A and Project B? b. What is the manager's expected utility of profit for Project A and Project B? c. If this manager is maximizing expected utility, which project will be chosen? The manager's utility function for profit is U(T) = 10 ln(T), where | is the dollar amount of profit. The manager is considering a risky decision with the four possible profit outcomes shown below. The manager makes the following subjective assessments about the probability of each profit outcome: 3. Probability 0.05 0.10 0.35 0.50 Profit outcome Project A $1,000 $8,000 $12,000 $20,000 Profit outcome Project B $14,000 $14,000 $14,000 $14,000 a. What is the expected profit of Project A and Project B? b. What is the manager's expected utility of profit for Project A and Project B? c. If this manager is maximizing expected utility, which project will be chosen