9) An operations manager has compiled the information (given in the table below) for four manufacturing alternatives (A, B, C, and D). These four alternatives vary by the production technology and the capacity of the machinery. The four states of nature (1, 2, 3, and 4) represent four levels of consumer acceptance of the firm's products. The values in the table are the profits (or losses) in millions of dollars for each Alternative in different States of Nature. If the probability of the states of nature are given by 0.1, 0.2, 0.3, and 0.4 respectively, then (a) which alternative should the operations manager pick (Hint: use EMV method)? (10 points) Alternative A Alternative B Alternative C Alternative D 1 55 40 80 -100 States of Nature 2 3 45 65 60 90 70 60 -10 150 4 60 120 75 120 (b) Build a decision tree for the problem given above. 9) An operations manager has compiled the information (given in the table below) for four manufacturing alternatives (A, B, C, and D). These four alternatives vary by the production technology and the capacity of the machinery. The four states of nature (1, 2, 3, and 4) represent four levels of consumer acceptance of the firm's products. The values in the table are the profits (or losses) in millions of dollars for each Alternative in different States of Nature. If the probability of the states of nature are given by 0.1, 0.2, 0.3, and 0.4 respectively, then (a) which alternative should the operations manager pick (Hint: use EMV method)? (10 points) Alternative A Alternative B Alternative C Alternative D 1 55 40 80 -100 States of Nature 2 3 45 65 60 90 70 60 -10 150 4 60 120 75 120 (b) Build a decision tree for the problem given above