a. show the decision tree b.

Problem 13-16 (Algorithmic) The company must first decide whether to undertake the market research study. If the market research study is conducted, the outcome will either be favorable (F) or unfavorable (U). Assume there are only two decision alternatives, di and d2, and two states of nature, si and $2. The payoff table showing proft is as follows: State of Nature Decision Alternative Si S2 di 300 300 b. Using the following probabilities, what is the optimal decision strategy? PE 0.62 P(s17) = 0.55 P(51U) = 0.67 Pl91) = 0.50 PU) = 0.38 P(521F) = 0.45 P(520) = 0.33 Plaz) = 0.50 Optimal decision strategy: The input in the box below will not be graded, but may be reviewed and considered by your instructor