Problem 13-19 (Algorithmic)

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 $300,000. 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	-250	300	350
Sell to competitor, d2	300	300	300

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 $30,000, 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:

P(F) = 0.63	P(S1|F) = 0.05	P(S1|U) = 0.46
P(U) = 0.37	P(S2|F) = 0.24	P(S2|U) = 0.32
	P(S3|F) = 0.71	P(S3|U) = 0.22

1. What is the recommended decision if the agency opinion is not used? What is the expected value? Enter your answer in thousands of dollars. Expected Value = $ ______ thousands.
2. What is the expected value of perfect information? Enter your answer in thousands of dollars. EVPI = $ _________ thousands.
3. 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 = $ _________ thousands.
4. Is the agency's information worth the $30,000 fee? What is the maximum that Hale should be willing to pay for the information? Hale should pay no more than $ ________ thousands. Round your answer to two decimal places. Enter your answer in thousands of dollars.

Please solve for the part where I was wrong.Thank you!

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 Sell Expected Value $ 300 thousands. . What is the expected value of perfect information? Enter your answer in thousands of dollars. EVPI $ x thousands. 85 What is Hale's optimal decision strategy assuming the agency's information is used? If Favorable Produce If Unfavorable Sell What is the expected value of the agency's information? Round your answer to two decimal places. Enter your answer in thousands of dollars. x thousands. EVSI $ 5040 Is the agency's information worth the $30,000 fee? What is the maximum that Hale should be willing to pay for the information? Decision No 5040 X thousands. Round your answer to two decimal places. Enter your answer in thousands of dollars. Hale should pay no more than $