Answer: c. d1
Decision | s1 | s2 | s3 | Minimum |
d1 | 12 | 15 | 15 | 12 |
d2 | 9 | 25 | 35 | 9 |
d3 | 6 | 35 | 60 | 6 |
Maximin | 12 |
The decision based on the pessimistic approach is d1 because the maximin value is 12 which corresponds to decisiomn alternative d1.
Answer: d. d3
probability | 0.5 | 0.3 | 0.2 | |
Decision | s1 | s2 | s3 | |
d1 | 12 | 15 | 15 | 13.5 |
d2 | 9 | 25 | 35 | 19 |
d3 | 6 | 35 | 60 | 25.5 |
State of Nature Decision Based on the above payoff table (positive payoff). What decision should be...
A payoff table is given as State of Nature Decision s1 s2 s3 d1 250 750 500 d2 300 - 250 1200 d3 500 500 600 a. What choice should be made by the optimistic decision maker? b. What choice should be made by the conservative decision maker? c. What decision should be made under minimax regret? d. If the probabilities of d1, d2, and d3 are .2, .5, and .3, respectively, then what choice should be made under expected...
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 payoff table for a maximization problem is given below. Decision Alternative State of nature, s1 State of nature, s2 d1 8 10 d2 0 6 d3 5 0 d4 14 5 What is the recommended decision alternative using the conservative approach? d1 d4 d2 d3
non excel solution, please! 6. Suppose that a decision maker faced with four decision alternatives and four states of natuure develops the following profit payoff table. State of Nature Decision Alternative S3 10 14 d1 10 d2 10 10 d3 13 10 8 d4 If the decision maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using the optimistic, conservative, and minimax regret approaches? ANSWERS: 1. D2 2. a) Al b) A2...
Three decision makers have assessed utilities for the following decision problem (payoff in dollars): State of Nature Decision Alternative S1 S2 S3 d1 30 40 -20 d2 80 100 -80 The indifference probabilities are as follows: Indifference Probability (p) Payoff Decision maker A Decision maker B Decision maker C 100 1.00 1.00 1.00 80 0.95 0.80 0.85 40 0.85 0.70 0.75 30 0.75 0.55 0.60 -20 0.60 0.25 0.50 -80 0.00 0.00 0.00 Find a recommended decision for each of...
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 table shows both prospective profits and losses for a company, depending on what decision is made and what state of nature occurs. If an optimistic strategy is used, determine which decision the company should select. State of Nature Decision S1 S2 S3 D1 50 70 30 D2 30 90 D3 80 10 20 D4 30 30 30 The table shows both prospective profits and losses for a company, depending on what decision is made and what state of nature...
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...
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 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...