Exam 22: Decision Analysis

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An opportunity loss is the difference between what the decision maker's profit for an act (alternative)is and what the profit could have been had the best decision been made.

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The difference between expected payoff under certainty and expected value of the best act without certainty is the:

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Video Business A high school student,who started doing videos as a hobby,is considering going into the videography business.The anticipated payoff table is:  Video Business  A high school student,who started doing videos as a hobby,is considering going into the videography business.The anticipated payoff table is:   The following prior probabilities are assigned to the states of nature: P(poor)= 0.4,P(fair)= 0.4,and P(super)= 0.2. ​ ​ -{Video Business Narrative} Calculate the expected opportunity loss for each act with present information.What decision should be made using the EOL criterion? The following prior probabilities are assigned to the states of nature: P(poor)= 0.4,P(fair)= 0.4,and P(super)= 0.2. ​ ​ -{Video Business Narrative} Calculate the expected opportunity loss for each act with present information.What decision should be made using the EOL criterion?

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EOL (Start)= (0.4)(12,000)+ (0.4)(0)+ (0.2)(0)= $4,800 EOL (Don't start)= (0.4)(0)+ (0.4)(10,000)+ (0.2)(15,000)= $7,000 The best decision (the decision with the smallest EOL)is to start the new business.Hence,EOL* = $4,800.

Gross Profits The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature. Gross Profits  The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.   ​ ​ -{Gross Profits Narrative} If the probability of s<sub>1</sub> is 0.5,then the optimal alternative using EMV is ____________________. ​ ​ -{Gross Profits Narrative} If the probability of s1 is 0.5,then the optimal alternative using EMV is ____________________.

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Worker safety laws would be considered a state of nature for a business firm.

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Incorporating an investor's subjective probabilities with a consultant's numerical forecasts requires the use of ____________________ Law.

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Gross Profits The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature. Gross Profits  The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.   ​ ​ -{Gross Profits Narrative} The opportunity loss for a<sub>2</sub> when s<sub>1</sub> occurs is________________. ​ ​ -{Gross Profits Narrative} The opportunity loss for a2 when s1 occurs is________________.

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Demolition Company The payoff table and the prior probabilities for three states of nature for a demolition company are shown below: Demolition Company  The payoff table and the prior probabilities for three states of nature for a demolition company are shown below:   Prior Probabilities: P(s<sub>1</sub>)= 0.4,P(s<sub>2</sub>)= 0.5,and P(s<sub>3</sub>)= 0.1. ​ ​ -{Demolition Company Narrative} Determine the EMV decision. Prior Probabilities: P(s1)= 0.4,P(s2)= 0.5,and P(s3)= 0.1. ​ ​ -{Demolition Company Narrative} Determine the EMV decision.

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Gross Profits The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature. Gross Profits  The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.   ​ ​ -{Gross Profits Narrative} If the probability of s<sub>1</sub> is 0.2 and s<sub>2</sub> is 0.8,then the expected monetary value (EMV)of a<sub>1</sub> is ____________________. ​ ​ -{Gross Profits Narrative} If the probability of s1 is 0.2 and s2 is 0.8,then the expected monetary value (EMV)of a1 is ____________________.

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Gas Company A payoff table for an electric company is shown below: Gas Company  A payoff table for an electric company is shown below:   The following prior probabilities are assigned to the states of nature: P(s<sub>1</sub>)= 0.3,P(s<sub>2</sub>)= 0.7. ​ ​ -{Gas Company Narrative} Calculate the expected opportunity loss for each act with present information.What decision should be made using the EOL criterion? The following prior probabilities are assigned to the states of nature: P(s1)= 0.3,P(s2)= 0.7. ​ ​ -{Gas Company Narrative} Calculate the expected opportunity loss for each act with present information.What decision should be made using the EOL criterion?

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Gross Profits The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature. Gross Profits  The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.   ​ ​ -{Gross Profits Narrative} If the probability of s<sub>1</sub> is 0.5,then the expected monetary value (EMV)for a<sub>1</sub> is ____________________. ​ ​ -{Gross Profits Narrative} If the probability of s1 is 0.5,then the expected monetary value (EMV)for a1 is ____________________.

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Gross Profits The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature. Gross Profits  The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.   ​ ​ -{Gross Profits Narrative} If the probability of s<sub>1</sub> is 0.2 and s<sub>2</sub> is 0.8,then the expected opportunity loss (EOL)for a<sub>1</sub> is ____________________. ​ ​ -{Gross Profits Narrative} If the probability of s1 is 0.2 and s2 is 0.8,then the expected opportunity loss (EOL)for a1 is ____________________.

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Graphic Design Business A high school student,who started doing graphic designs as a hobby,is considering going into the graphic design business.The anticipated payoff table is:  Graphic Design Business  A high school student,who started doing graphic designs as a hobby,is considering going into the graphic design business.The anticipated payoff table is:   The following prior probabilities are assigned to the states of nature: P(poor)= 0.4,P(fair)= 0.4,and P(super)= 0.2. ​ ​ -{Graphic Design Business Narrative} What is the expected value of perfect information? What does it mean? The following prior probabilities are assigned to the states of nature: P(poor)= 0.4,P(fair)= 0.4,and P(super)= 0.2. ​ ​ -{Graphic Design Business Narrative} What is the expected value of perfect information? What does it mean?

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Which of the following would not be considered a state of nature for a business firm?

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Candy Store A payoff table for a Candy store is shown below. Candy Store  A payoff table for a Candy store is shown below.   The following prior probabilities are assigned to the states of nature: P(s<sub>1</sub>)= 0.2,P(s<sub>2</sub>)= 0.6,and P(s<sub>3</sub>)= 0.2. ​ ​ -{Candy Store Narrative} What is the expected payoff with perfect information? The following prior probabilities are assigned to the states of nature: P(s1)= 0.2,P(s2)= 0.6,and P(s3)= 0.2. ​ ​ -{Candy Store Narrative} What is the expected payoff with perfect information?

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The expected value of sample information (EVSI)is the difference between the expected monetary value with additional information (EMV')and the expected monetary value without additional information (EMV*).That is,EVSI = (EMV')− EMV*.

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Container Company ​ A company must decide whether or not to change its packaging to a more environmentally safe material.The impact of the decision on profits depends on which of the following three possible scenarios develops in the future. ​ Scenario 1: The media does not focus heavily on concerns about packaging and no new laws requiring changes in packaging are passed.Under this scenario,the company will make $35 million if they change their packaging now,but will make $75 million if they do not change their packaging now. ​ Scenario 2: The media does focus heavily on concerns about packaging and no new laws requiring changes in packaging are passed.Under this scenario,the company will make $50 million if they change their packaging now,but will make $55 million if they do not change their packaging now. ​ Scenario 3: The media does focus heavily on concerns about packaging and new laws requiring changes in packaging are passed.Under this scenario,the company will make $60 million if they change their packaging now,but will make only $15 million if they do not change their packaging now. ​ The prior probabilities of the three scenarios are 0.3,0.5,and 0.2,respectively. ​ ​ -{Container Company Narrative} What decision will be made to maximize expected payoff?

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Maintenance Company For a maintenance company,a payoff table,the prior probabilities for three states of nature,and the likelihood probabilities are shown below: Payoff Table: Maintenance Company  For a maintenance company,a payoff table,the prior probabilities for three states of nature,and the likelihood probabilities are shown below:  Payoff Table:   Prior Probabilities: P(s<sub>1</sub>)= 0.4,P(s<sub>2</sub>)= 0.5,and P(s<sub>3</sub>)= 0.1. Likelihood Probabilities:   ​ ​ -{Maintenance Company Narrative} What is the expected payoff with perfect information? Prior Probabilities: P(s1)= 0.4,P(s2)= 0.5,and P(s3)= 0.1. Likelihood Probabilities: Maintenance Company  For a maintenance company,a payoff table,the prior probabilities for three states of nature,and the likelihood probabilities are shown below:  Payoff Table:   Prior Probabilities: P(s<sub>1</sub>)= 0.4,P(s<sub>2</sub>)= 0.5,and P(s<sub>3</sub>)= 0.1. Likelihood Probabilities:   ​ ​ -{Maintenance Company Narrative} What is the expected payoff with perfect information? ​ ​ -{Maintenance Company Narrative} What is the expected payoff with perfect information?

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Sporting Goods Store A payoff table for a clothing store is shown below. Sporting Goods Store  A payoff table for a clothing store is shown below.   The following prior probabilities are assigned to the states of nature: P(s<sub>1</sub>)= 0.2,P(s<sub>2</sub>)= 0.6,and P(s<sub>3</sub>)= 0.2. ​ ​ -{Sporting Goods Store Narrative} Determine the EOL decision. The following prior probabilities are assigned to the states of nature: P(s1)= 0.2,P(s2)= 0.6,and P(s3)= 0.2. ​ ​ -{Sporting Goods Store Narrative} Determine the EOL decision.

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The expected value of perfect information (EVPI)is the difference between the expected payoff with perfect information (EPPI)and the expected monetary value (EMV*).That is,EVPI = EPPI − EMV*.

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