Exam 14: Decision Analysis

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Exhibit 14.8 The following questions use the information below. A company needs to buy a new insurance policy.They have three policies to choose from,A,B and C.The policies differ with respect to price,coverage and ease of billing.The company has developed the following AHP tables for price and summary.The other tables are not shown due to space limitations.  Exhibit 14.8 The following questions use the information below. A company needs to buy a new insurance policy.They have three policies to choose from,A,B and C.The policies differ with respect to price,coverage and ease of billing.The company has developed the following AHP tables for price and summary.The other tables are not shown due to space limitations.     \begin{array}{|c|c|c|c|c|c|c|c} \hline & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\ \hline 1 & & & & & & & \\ \hline 2 & & & & & & & \\ \hline 3 & & \text { Criterion } & \text { A } & \text { B } & \text { C } & & \\ \hline 4 & & \text { Price } & 0.648 & 0.230 & 0.122 & & 0.123 \\ \hline 5 & & \text { Coverage } & 0.213 & 0.701 & 0.085 & & 0.320 \\ \hline 7 & & \text { Billing } & 0.120 & 0.272 & 0.608 & & 0.557 \\ \hline 7 & & \text { Weighted Avg Score: } & 0.215 & 0.404 & 0.381 & & 1.000 \\ \hline & & \text { Summary } & & & & & \\ \hline \end{array}   -Refer to Exhibit 14.8.The Consistency Ratio indicates consistency in the pairwise comparison matrix if the ratio is A B C D E F G 1 2 3 Criterion A B C 4 Price 0.648 0.230 0.122 0.123 5 Coverage 0.213 0.701 0.085 0.320 7 Billing 0.120 0.272 0.608 0.557 7 Weighted Avg Score: 0.215 0.404 0.381 1.000 Summary -Refer to Exhibit 14.8.The Consistency Ratio indicates consistency in the pairwise comparison matrix if the ratio is

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Exhibit 14.4 The following questions are based on the information below. Exhibit 14.4 The following questions are based on the information below.    -Refer to Exhibit 14.4.What formula should go in cell D14 of the spreadsheet to compute the EVPI? -Refer to Exhibit 14.4.What formula should go in cell D14 of the spreadsheet to compute the EVPI?

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Exhibit 14.10 The following questions are based on the information below. An investor is considering 4 investments,W,X,Y,and Z.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the decision problem.The investor has estimated the probability of a declining economy at 80% and an expanding economy at 20%. Exhibit 14.10 The following questions are based on the information below. An investor is considering 4 investments,W,X,Y,and Z.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the decision problem.The investor has estimated the probability of a declining economy at 80% and an expanding economy at 20%.    -Refer to Exhibit 14.10.Complete the table using the expected monetary value decision rule and indicate which decision should be made according to that rule. -Refer to Exhibit 14.10.Complete the table using the expected monetary value decision rule and indicate which decision should be made according to that rule.

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Exhibit 14.9 The following questions are based on the information below. An investor is considering 4 investments,W,X,Y,and Z.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the investment decision problem. E 1 Payoff Matrix 2 3 Economy 4 Investment Decline Expand Choice 5 0 80 6 3 0 70 7 5 0 35 8 z 2 0 20 Payoffs -Refer to Exhibit 14.9.Assume the formula =MAXB5:C5)was entered in cell D5 and copied to cells D6:D8.What formula should go in cell E5 and get copied to cells E6:E8 to place a "<==" to indicate the choice according to the maximax decision rule?

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Exhibit 14.13 The following questions use the information below. A student wants to buy a new car.She has three cars to choose from,A,B and C.The cars differ with respect to price,performance and looks.The student has developed the following AHP tables for price and summary.The other tables are not shown due to space limitations. Exhibit 14.13 The following questions use the information below. A student wants to buy a new car.She has three cars to choose from,A,B and C.The cars differ with respect to price,performance and looks.The student has developed the following AHP tables for price and summary.The other tables are not shown due to space limitations.      -Refer to Exhibit 14.13.What formula should go in cell C7 and copied to cells D7:E7 of the Summary worksheet to compute the Weighted Average Score? Exhibit 14.13 The following questions use the information below. A student wants to buy a new car.She has three cars to choose from,A,B and C.The cars differ with respect to price,performance and looks.The student has developed the following AHP tables for price and summary.The other tables are not shown due to space limitations.      -Refer to Exhibit 14.13.What formula should go in cell C7 and copied to cells D7:E7 of the Summary worksheet to compute the Weighted Average Score? -Refer to Exhibit 14.13.What formula should go in cell C7 and copied to cells D7:E7 of the Summary worksheet to compute the Weighted Average Score?

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Exhibit 14.11 The following questions use the information below. A company is planning a plant expansion.They can build a large or small plant.The payoffs for the plant depend on the level of consumer demand for the company's products.The company believes that there is an 72% chance that demand for their products will be high and a 28% chance that it will be low.The company can pay a market research firm to survey consumer attitudes towards the company's products.There is a 76% chance that the customers will like the products and a 24% chance that they won't.The payoff matrix and costs of the two plants are listed below.The company believes that if the survey is favorable there is an 87% chance that demand will be high for the products.If the survey is unfavorable there is only a 25% chance that the demand will be high. Demand Factory Size High Low Plant Cost \millian ) Large 90 40 5 Small 55 20 1 The company has developed the following conditional probability table for their decision problem.  Exhibit 14.11 The following questions use the information below. A company is planning a plant expansion.They can build a large or small plant.The payoffs for the plant depend on the level of consumer demand for the company's products.The company believes that there is an 72% chance that demand for their products will be high and a 28% chance that it will be low.The company can pay a market research firm to survey consumer attitudes towards the company's products.There is a 76% chance that the customers will like the products and a 24% chance that they won't.The payoff matrix and costs of the two plants are listed below.The company believes that if the survey is favorable there is an 87% chance that demand will be high for the products.If the survey is unfavorable there is only a 25% chance that the demand will be high.   \begin{array}{l} \quad\quad\quad\quad\quad\quad\quad\quad\text { Demand }\\ \begin{array} { l c c c }   \text { Factory Size } & \text { High } & \text { Low } & \text { Plant Cost \$millian) } \\ \hline \text { Large } & 90 & 40 & 5 \\ \text { Small } & 55 & 20 & 1 \end{array} \end{array}  The company has developed the following conditional probability table for their decision problem.    -Refer to Exhibit 14.11.What formula should go in cell C13 of the probability table? -Refer to Exhibit 14.11.What formula should go in cell C13 of the probability table?

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A payoff matrix depicts versus with payoffs for each intersection cell.

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Exhibit 14.9 The following questions are based on the information below. An investor is considering 4 investments,W,X,Y,and Z.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the investment decision problem. E 1 Payoff Matrix 2 3 Economy 4 Investment Decline Expand Choice 5 0 80 6 3 0 70 7 5 0 35 8 z 2 0 20 Payoffs -Refer to Exhibit 14.9.Assume the formula =MINB5:C5)was entered in cell D5 and copied to cells D6:D8.What formula should go in cell E5 and get copied to cells E6:E8 to place a "<==" to indicate the choice according to the maximin decision rule?

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A "risk averse" decision maker assigns the relative utility to any payoff but has an)marginal utility for increased payoffs.

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Exhibit 14.1 The following questions are based on the information below. An investor is considering 4 investments,A,B,C and leaving his money in the bank.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the decision problem. Exhibit 14.1 The following questions are based on the information below. An investor is considering 4 investments,A,B,C and leaving his money in the bank.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the decision problem.    -Refer to Exhibit 14.1.What decision should be made according to the maximin decision rule? -Refer to Exhibit 14.1.What decision should be made according to the maximin decision rule?

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Exhibit 14.9 The following questions are based on the information below. An investor is considering 4 investments,W,X,Y,and Z.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the investment decision problem. E 1 Payoff Matrix 2 3 Economy 4 Investment Decline Expand Choice 5 0 80 6 3 0 70 7 5 0 35 8 z 2 0 20 Payoffs -Refer to Exhibit 14.9.What formula should go in cell D5 of the following Regret Table to implement the minimax regret decision rule? Assume that cells B5:C8 contain the regret values for the problem. A B C D 1 Regret Matrix 2 3 Economy 4 Investment Decline Expand 5 W 6 7 8 Z Regret

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The decision with the smallest expected opportunity loss EOL)will also have the

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Exhibit 14.6 The following questions use the information below. A company is planning a plant expansion.They can build a large or small plant.The payoffs for the plant depend on the level of consumer demand for the company's products.The company believes that there is an 69% chance that demand for their products will be high and a 31% chance that it will be low.The company can pay a market research firm to survey consumer attitudes towards the company's products.There is a 63% chance that the customers will like the products and a 37% chance that they won't.The payoff matrix and costs of the two plants are listed below.The company believes that if the survey is favorable there is a 92% chance that demand will be high for the products.If the survey is unfavorable there is only a 30% chance that the demand will be high.The following decision tree has been built for this problem.The company has computed that the expected monetary value of the best decision without sample information is 154.35 million.The company has developed the following conditional probability table for their decision problem. Exhibit 14.6 The following questions use the information below. A company is planning a plant expansion.They can build a large or small plant.The payoffs for the plant depend on the level of consumer demand for the company's products.The company believes that there is an 69% chance that demand for their products will be high and a 31% chance that it will be low.The company can pay a market research firm to survey consumer attitudes towards the company's products.There is a 63% chance that the customers will like the products and a 37% chance that they won't.The payoff matrix and costs of the two plants are listed below.The company believes that if the survey is favorable there is a 92% chance that demand will be high for the products.If the survey is unfavorable there is only a 30% chance that the demand will be high.The following decision tree has been built for this problem.The company has computed that the expected monetary value of the best decision without sample information is 154.35 million.The company has developed the following conditional probability table for their decision problem.    -Refer to Exhibit 14.6.What is PF∩H),where F = favorable response and H = high demand? -Refer to Exhibit 14.6.What is PF∩H),where F = favorable response and H = high demand?

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What is the formula for the exponential utility function Ux)?

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The correspond to future events that are not under the control of the decision maker.

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Exhibit 14.3 The following questions are based on the information below. An investor is considering 4 investments,A,B,C and leaving his money in the bank.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the decision problem.The investor has estimated the probability of a declining economy at 70% and an expanding economy at 30%. Exhibit 14.3 The following questions are based on the information below. An investor is considering 4 investments,A,B,C and leaving his money in the bank.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the decision problem.The investor has estimated the probability of a declining economy at 70% and an expanding economy at 30%.    -Refer to Exhibit 14.3.What decision should be made according to the expected regret decision rule? -Refer to Exhibit 14.3.What decision should be made according to the expected regret decision rule?

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Which decision rule optimistically assumes that nature will always be "on our side" regardless of what decision we make?

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Exhibit 14.10 The following questions are based on the information below. An investor is considering 4 investments,W,X,Y,and Z.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the decision problem.The investor has estimated the probability of a declining economy at 80% and an expanding economy at 20%. Exhibit 14.10 The following questions are based on the information below. An investor is considering 4 investments,W,X,Y,and Z.The payoff from each investment is a function of the economic climate over the next 2 years.The economy can expand or decline.The following payoff matrix has been developed for the decision problem.The investor has estimated the probability of a declining economy at 80% and an expanding economy at 20%.    -Refer to Exhibit 14.10.Complete the Regret Table according to the expected regret decision rule. -Refer to Exhibit 14.10.Complete the Regret Table according to the expected regret decision rule.

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Exhibit 14.12 The following questions use the information below.A decision maker is faced with two alternatives. Alternative 1: Receive $40,000 with certainty Alternative 2: Receive $80,000 with probability p and lose $5,000 with probability 1 − p). The decision maker has determined that she is indifferent between the two alternatives when p = 0.7. -Refer to Exhibit 14.12.What is the decision maker's risk premium for this problem?

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