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fellowing payoff table shows the projected profit (in thousands of dollars). The state-of-nature probabilities are P(s1)=0.35,P(s2)=0.35, and P(s3)=0.30. (a) Use a decision tree to recommend a decision: The best deosion is to the component part. (b) Use EVPI to determine whether the compary should attempt to obtain a better estimate of demand, assuming the estimate would come at no further cost. EVP: = x The EVP1 suggests that the company consider an attempt to obtain a better estimate of demand. P(Fs1)=0.10P(As2)=0.40P(Fs3)=0.60P(Us1)=0.90P(Us2)=0.60P(Us2)=0.40 What is the probability that the market research report wil be favorabie? A(F)= (a) What is the company's aptimal decision strategr? If f, then d1. If u4, then d2. If , then d2 if y,thend2 If f,thend1, if U1, then d1 (c) A test market study of the potential demand for the product is expected to report either a favorable (A) or untavorable (U) condition, The relevant conditional probabilities are as follows: A(Fs1)=0.10P(Fs2)=0.40P(Fsj)=0.60P(Us1)=0.90P(Us3)=0.60P(Us3)=0.40 What is the probobility that the market research report will be favorable? P(P)= (d) What is the company's optimal decision strategy? If F, then d1. If U, then d2. If F,thend2, If U, then d2. IV F, then d1, if U,thend1. If F1, then d2, if U1, then d1 (c) What is the expected value (in thousands of dollars) of the market restarch information? EVSI = x thousand doliars (f) What is the eficiency (as a \%) of the informetion? (Round your answer to one decimal ploce.) Ffficiency = &