Exam 14: Decision Analysis

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Which decision rule pessimistically assumes that nature will always be "against us" regardless of what decision we make?

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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.Which policy should the company choose based on the Summary worksheet? 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.Which policy should the company choose based on the Summary worksheet?

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An investor is considering 4 investments,A,B,C,D.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 decision tree has been developed for the problem.The investor has estimated the probability of a declining economy at 25% and an expanding economy at 75%.What is the correct decision for this investor based on an expected monetary value criteria? Draw the decision tree for this problem.

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An investor is considering 2 investments,A,B,which can be purchased now for $10.There is a 40% chance that investment A will grow rapidly in value and a 60% chance that it will grow slowly.If A grows rapidly the investor can cash it in for $80 or trade it for investment C which has a 25% chance of growing to $100 and a 75% chance of reaching $80.If A grows slowly it is sold for $50.There is a 70% chance that investment B will grow rapidly in value and a 30% chance that it will grow slowly.If B grows rapidly the investor can cash it in for $100 or trade it for investment D which has a 20% chance of growing to $95 and an 80% chance of reaching $80.If B grows slowly it is sold for $45.What is the multistage decision for this investor and what is the EMV for this decision?

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Exhibit 14.7 The following questions use the information below. A decision maker is faced with two alternatives.The decision maker has determined that she is indifferent between the two alternatives when p = 0.45. Alternative 1: Receive $82,000 with certainty Alternative 2: Receive $143,000 with probability p and lose $15,000 with probability 1 − p). -Refer to Exhibit 14.7.What is the expected value of Alternative 2 for this decision maker?

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Although modeling provides valuable insight to decision makers,decision making remains a difficult task.Which of the following is not a primary cause for this difficulty discussed in the Decision Analysis chapter?

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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 following table to determine the expected value of perfect information for the investor.   -Refer to Exhibit 14.10.Complete the following table to determine the expected value of perfect information for the investor. 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 following table to determine the expected value of perfect information for the investor.

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Exhibit 14.5 The following questions are based on the information below. An investor is considering 4 investments,A,B,C,D.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 decision tree has been developed for the problem.The investor has estimated the probability of a declining economy at 40% and an expanding economy at 60%. Exhibit 14.5 The following questions are based on the information below. An investor is considering 4 investments,A,B,C,D.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 decision tree has been developed for the problem.The investor has estimated the probability of a declining economy at 40% and an expanding economy at 60%.   -Refer to Exhibit 14.5.What is the correct decision for this investor based on an expected monetary value criteria? -Refer to Exhibit 14.5.What is the correct decision for this investor based on an expected monetary value criteria?

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The maximin approach to decision-making

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Based on the radar chart of raw scores provided below,why is this decision complex? Based on the radar chart of raw scores provided below,why is this decision complex?

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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.What formula should go in cell F11 and get copied to F12:F13 of the Price worksheet to compute the Price Score? 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.What formula should go in cell F11 and get copied to F12:F13 of the Price worksheet to compute the Price Score?

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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 G11 and copied to cells G12:G13 of the Price worksheet to compute the Consistency Measure? 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 G11 and copied to cells G12:G13 of the Price worksheet to compute the Consistency Measure? -Refer to Exhibit 14.13.What formula should go in cell G11 and copied to cells G12:G13 of the Price worksheet to compute the Consistency Measure?

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Project 14.1 ? The Pre-Paid Gas Tank Decision Your company has sent you on business to the Los Angeles LA)metropolitan area.Upon your arrival at LAX,you make your way to the Klunker Car Rental counter.As usual,the line at the counter is long,so you enter and begin your wait.While waiting you notice that Klunker is offering a special deal on gas.They are selling gas for $1.579 per gallon.However,you must purchase a full tank when you rent the car.Klunker also says that the average price per gallon of gas in the LA area is $1.60.You are uncertain of several necessary pieces of information to determine whether you should take advantage of this deal.These are: · the total miles you will drive on the trip; · rental car gas mileage; · how much gas the rental car's tank holds; · the true cost of gas in the LA area. First,you expect to drive between 150 and 250 miles on this trip.You believe there is an equal chance that you will drive either of these extreme amounts.However,you may have to make a side trip to Edwards AFB that will increase the total miles to 500.You believe there is a 1 in 5 chance that this will happen.Normally,Klunker rents you a mid-size car.You believe most cars in this class have either a 15 gallon gas tank with 60% confidence or a 18 gallon gas tank with 40% confidence.You've heard that cars in this class get as much as 25 mpg on the highway but may get as little as 18 mpg city driving.You decide there is an 70% chance most of your driving will be on the freeways and the rest in the city.Finally,you don't believe Klunker's posted average price of $1.60 per gallon in the LA area.You guess that there is 40% chance that the gas will be $1.259,20% chance it will be $1.479 and a 40% chance it will be $1.659.Assume you must decide whether to pre-purchase the tank of gas prior to talking to a Klunker clerk. a.Draw the decision tree for this problem using Decision Tree in Excel. b.What is the optimal decision? Now suppose you can delay your decision until you speak to a clerk and find out exactly how c.much gas your rental car holds.The clerk says the car you will rent holds 18 gallons of gas.What is your optimal decision now? What is the value of this additional information?

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The expected monetary value criterion EMV)is the decision-making approach used

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Exhibit 14.14 The following questions use the Decision Tree model and strategy table information below. Exhibit 14.14 The following questions use the Decision Tree model and strategy table information below.     -Refer to Exhibit 14.14.Why does the strategy table,examining the risk associated with PG|A)and PG|B)never show Sell A or Trade B for D as selected options? Exhibit 14.14 The following questions use the Decision Tree model and strategy table information below.     -Refer to Exhibit 14.14.Why does the strategy table,examining the risk associated with PG|A)and PG|B)never show Sell A or Trade B for D as selected options? -Refer to Exhibit 14.14.Why does the strategy table,examining the risk associated with PG|A)and PG|B)never show "Sell A" or "Trade B for D" as selected options?

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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 decision should be made according to the maximin decision rule?

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The total worth,value or desirability of a decision alternative is called its

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In decision-making,luck

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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.Which car should the student choose based on the Summary worksheet? 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.Which car should the student choose based on the Summary worksheet? -Refer to Exhibit 14.13.Which car should the student choose based on the Summary worksheet?

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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 G15 of the Price worksheet to compute the Consistency Ratio? 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 G15 of the Price worksheet to compute the Consistency Ratio? -Refer to Exhibit 14.13.What formula should go in cell G15 of the Price worksheet to compute the Consistency Ratio?

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