Below is a payoff table involving three states of nature and three decision alternatives. Decision States...
Below is a payoff table involving three states of nature and three decision alternatives. Decision States of Nature Alternative s1 s2 s3 A –20 10 15 B 16 –5 8 C 15 25 –10 The probability of occurrence of s1 is .2, and the probability of occurrence of s2 is .3. Refer to Exhibit 20-5. The expected value of alternative C is _____. a. 6.5 b. 5.7 c. 30
Homework Answers
Ans:
The expected value of alternative C is
=0.2*15+0.3*25-0.5*10
=3+7.5-5
=5.5
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Below is a payoff table involving three states of nature and
three decision alternatives. Decision States...
Problem 13-01 (Algorithmic) The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative 210...
Problem 13-01 (Algorithmic) The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative 210 130 75 130 280 75 a. Choose the correct decision tree for this problem 210 210 di S1 S1 280 280 130 130 S2 130 130 d2 d2 75 75 di S3 75 (iv) 130 210 S2 210 di S1 130 75 S2 130 210 210 S1 di $1 130 75...
The following profit payoff table shows profit for a decision analysis problem with two decision alternatives...
The following profit payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. Suppose that the decision maker obtained the probability assessments P(S1) = 0.65, P(S2) = 0.20, and P(S3) = 0.15. State of Nature Decision Alternative S1 S2 S3 d1 150 175 50 d2 175 75 100 Use the expected value approach to determine the optimal decision. The optimal decision is?
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative s1 10 4 S2 d1 d2 (a) Suppose P(S1)-0.2...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative s1 10 4 S2 d1 d2 (a) Suppose P(S1)-0.2 ad P(s2)-0.8. What is the best decision using the expected value approach? Round your answer in one decimal place The best decision is decision alternative d2 , with an expected value of 3.2 (b) Perform sensitivity analysis on the payoffs for decision alternative d1. Assume the...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative s1 S2 101 4 (a) Suppose P(si)-0.2 and...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative s1 S2 101 4 (a) Suppose P(si)-0.2 and P(s2)-0.8. What is the best decision using the expected value approach? Round your answer in one decimal place. The best decision is decision alternative d2 v , with an expected value of 3.2 (b) Perform sensitivity analysis on the payoffs for decision alternative di. Assume the probabilities...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative s1 s2 d1 10 1 d2 4 3 (a...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative s1 s2 d1 10 1 d2 4 3 (a) Suppose P(s1)=0.2 and P(s2)=0.8. What is the best decision using the expected value approach? Round your answer in one decimal place. The best decision is decision alternative - Select your answer -d1d2Item 1 , with an expected value of . (b) Perform sensitivity analysis on the...
The following payoff table shows profit for a decision analysis problem with two decision alternatives and...
The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative S1 S2 S3 d1 250 100 25 d2 100 100 75 The probabilities for the states of nature are P(s1) = 0.65, P(s2) = 0.15, and P(s3) = 0.20. (a) What is the optimal decision strategy if perfect information were available? S1 : - Select your answer -d1d2d1 or d2Item 1 S2 : - Select...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives State of Nature Decision Alternative 1 2 d1 10 1 d2 (a) Suppose P(s1)-0.2 an...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives State of Nature Decision Alternative 1 2 d1 10 1 d2 (a) Suppose P(s1)-0.2 and P(sz)-0.8. What is the best decision using the expected value approach? Round your answer in one decimal place v, with an expected value of The best decision is decision alternative d2 3.2 (b) Perform sensitivity analysis on the payoffs for decision alternative di. Assume the...
The following profit payoff table shows profit for a decision analysis problem with two decision alternatives...
The following profit payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative Si S2 S3 d1 300 175 50 d2 200 175 100 The probabilities for the states of nature are P(51) = 0.5, P(52) = 0.3 and P(53) = 0.2. a. What is the optimal decision strategy if perfect information were available? Si : di S2: di or d2 S3 : d2 b. What is...
Three decision makers have assessed payoffs for the following decision problem (payoff in dollars). Decision Alternative State of Nature s1 s2 s3 d1 15 40 –20 d2 60...
Three decision makers have assessed payoffs for the following decision problem (payoff in dollars). Decision Alternative State of Nature s1 s2 s3 d1 15 40 –20 d2 60 80 –80 The indifference probabilities are as follows: Indifference Probability (p) Payoff Decision Maker A Decision Maker B Decision Maker C 80 Does not apply Does not apply Does not apply 60 0.7 0.95 0.85 40 0.5 0.9 0.7 15 0.3 0.8 0.55 –20 0.15 0.6 0.35 –80...
2. Assume you are faced with the following decision alternatives and two states of nature. The pr...
2. Assume you are faced with the following decision alternatives and two states of nature. The profit payoff table is shown below States of Nature Prob (S D1 D2 D3 S1 0.60 100 50 40 S2 0.40 20 50 80 Decision Alternatives a) Do you think undertaking a market research study, with a cost of 25, would be justified in this case? b) What should the probabilities of states 1 and 2 be that options D1 and D3 will have...
Problem 13-01 (Algorithmic) The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative 210 130 75 130 280 75 a. Choose the correct decision tree for this problem 210 210 di S1 S1 280 280 130 130 S2 130 130 d2 d2 75 75 di S3 75 (iv) 130 210 S2 210 di S1 130 75 S2 130 210 210 S1 di $1 130 75...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative s1 10 4 S2 d1 d2 (a) Suppose P(S1)-0.2 ad P(s2)-0.8. What is the best decision using the expected value approach? Round your answer in one decimal place The best decision is decision alternative d2 , with an expected value of 3.2 (b) Perform sensitivity analysis on the payoffs for decision alternative d1. Assume the...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative s1 S2 101 4 (a) Suppose P(si)-0.2 and P(s2)-0.8. What is the best decision using the expected value approach? Round your answer in one decimal place. The best decision is decision alternative d2 v , with an expected value of 3.2 (b) Perform sensitivity analysis on the payoffs for decision alternative di. Assume the probabilities...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives State of Nature Decision Alternative 1 2 d1 10 1 d2 (a) Suppose P(s1)-0.2 and P(sz)-0.8. What is the best decision using the expected value approach? Round your answer in one decimal place v, with an expected value of The best decision is decision alternative d2 3.2 (b) Perform sensitivity analysis on the payoffs for decision alternative di. Assume the...
The following profit payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative Si S2 S3 d1 300 175 50 d2 200 175 100 The probabilities for the states of nature are P(51) = 0.5, P(52) = 0.3 and P(53) = 0.2. a. What is the optimal decision strategy if perfect information were available? Si : di S2: di or d2 S3 : d2 b. What is...
2. Assume you are faced with the following decision alternatives and two states of nature. The profit payoff table is shown below States of Nature Prob (S D1 D2 D3 S1 0.60 100 50 40 S2 0.40 20 50 80 Decision Alternatives a) Do you think undertaking a market research study, with a cost of 25, would be justified in this case? b) What should the probabilities of states 1 and 2 be that options D1 and D3 will have...
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