Hale's TV Productions is considering producing a pilot for a comedy series in the hope of selling it to a major television network. The network may decide to reject the series, but it may also decide to purchase the rights to the series for either one or two years. At this point in time, Hale may either produce the pilot and wait for the network's decision or transfer the rights for the pilot and series to a competitor for $200,000. Hale's decision alternatives and profits (in thousands of dollars) are as follows: State of Nature Decision Alternative Reject, S1 1 Year, S2 2 Years, S3 Produce pilot, d1 -100 50 450 Sell to competitor, d2 200 200 200 The probabilities for the states of nature are P(S1) = 0.20, P(S2) = 0.30, and P(S3) = 0.50. For a consulting fee of $40,000, an agency will review the plans for the comedy series and indicate the overall chances of a favorable network reaction to the series. Assume that the agency review will result in a favorable (F) or an unfavorable (U) review and that the following probabilities are relevant: a. P(F) = 0.68 P(S1|F) = 0.05 P(S1|U) = 0.41 P(U) = 0.32 P(S2|F) = 0.22 P(S2|U) = 0.38 P(S3|F) = 0.73 P(S3|U) = 0.21 What is the recommended decision if the agency opinion is not used? What is the expected value? Enter your answer in thousands of dollars. Recommended decision Expected Value = $ b. What is the expected value of perfect information? Enter your answer in thousands of dollars. EVPI = $ c. thousands. thousands. What is Hale's optimal decision strategy assuming the agency's information is used? If Favorable (produce/sale) If Unfavorable (produce/sale) d. What is the expected value of the agency's information? Round your answer to two decimal places. Enter your answer in thousands of dollars. EVSI = $ e. thousands. Is the agency's information worth the $40,000 fee? What is the maximum that Hale should be willing to pay for the information? Decision (yes/no) Hale should pay no more than $ thousands. Round your answer to two decimal places. Enter your answer in thousands of dollars. f. What is the recommended decision? The following profit payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature a. Decision Alternative S1 S2 S3 d1 300 175 50 d2 200 175 100 The probabilities for the states of nature are P(s1) = 0.5, P(s2) = 0.3 and P(s3) = 0.2. What is the optimal decision strategy if perfect information were available? S1 : S2 : S3 : b. What is the expected value for the decision strategy developed in part (a)? If required, round your answer to one decimal place. c. Using the expected value approach, what is the recommended decision without perfect information? (D1/D2) What is its expected value? If required, round your answer to one decimal place. d. What is the expected value of perfect information? If required, round your answer to one decimal place