Decision |
State-of-Nature 1 |
State-of-Nature 2 |
State-of-Nature 3 |
State-of-Nature 4 |
Alternative 1 |
10 |
0 |
5 |
25 |
Alternative 2 |
0 |
35 |
65 |
0 |
Alternative 3 |
5 |
20 |
50 |
35 |
Alternative 4 |
15 |
0 |
10 |
20 |
Construct the regret table using the table above.
S1 |
S2 |
S3 |
S4 |
|
A1 |
||||
A2 |
||||
A3 |
||||
A4 |
first we get maximum of each state and then deduct value of the cell will given regret table value
hence below is the regret table
decision | S1 | S2 | S3 | S4 |
A1 | 5 | 35 | 60 | 10 |
A2 | 15 | 0 | 0 | 35 |
A3 | 10 | 15 | 15 | 0 |
A4 | 0 | 35 | 55 | 15 |
Decision State-of-Nature 1 State-of-Nature 2 State-of-Nature 3 State-of-Nature 4 Alternative 1 10 0 5 25 Alternative...
2. Use the following table to answer a-d. The payoffs are in COSTS. S1 (p=.3) S2 (p=.2) S3 (p=.2) S4 (p=.3) A1 5 0 10 25 A2 35 65 0 0 A3 20 50 5 35 A4 0 10 15 20 a. In a situation of uncertainty, what is the best alternative? [Use the expected value criteria to find the associated payoffs for each alternative and choose the best one.] b. Construct a regret table using the table above. S1...
2. Use the following table to answer a-d. The payoffs are in COSTS. Decision\ State of Nature S1 S2 S3 S4 A1 10 35 25 15 A2 10 15 45 10 A3 15 0 65 35 A4 30 30 10 30 Using different criteria identify, what is the best alternative and associated payoff? a. Optimistic criterion: Decision:________ b. Pessimistic criterion ______________________________ Decision:________
1. Use the following table to answer a-d. The payoffs are in BENEFITS. a. In a situation of uncertainty, what is the best alternative? [Use the expected value criteria to find the associated payoffs for each alternative and choose the best one.] S1 (p=.25) S2 (p= ) S3 (p=.25) S4 (p=.2) A1 30 10 30 30 A2 0 65 35 15 A3 15 45 10 10 A4 35 25 15 10 b. Construct a regret table using the table...
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...
NEED HELP ASAP Betsy Spotzman makes decisions according to deterministic decision making criterion. For her current problem, Betsy has constructed the following payoff table be cost 51 52 53 a1 50 100-100 a2 0 10 10 a3 20 40 40 Prob 0.5 0.3 0.2 What should Betsy's decision be under the regret approach? What is the corresponding cost? Decision State of Nature cost You are given the following payoff able in units of 5000 for a decision analysis problem: Profit...
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...
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...
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 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
Consider the following payoff table. S1 S2 S3 S4 A1 22 14 10 -8 A2 12 6 16 -2 A3 -4 8 10 12 With alpha = 0.4, the Hurwicz value for A3 would be: 4.8 2.4 10.4 5.6 With a maximin strategy, the best alternative would be: A1 A2 A3 There is not enough information available.