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At a fundraising dinner, four attendees win a raffle for a free vacation package. The event planner needs to match each of the four winners with one of the four vacation packages at an oceanside bungalow, a mountain cabin, a condo near a golf course, and a mansion in wine country. Each winner is asked to provide their preferences on the four packages on a scale of 1 to 10, with 10 being the most preferred. The accompanying table shows their preferences. To maintain the impartiality of the event planner, the names of the winners are not listed with their preferences. Winners A B D Oceanside 8.5 8.5 8.5 10.0 Mountain 9.0 9.0 9.0 9.5 Golf course Wine country 8.5 9.0 9.5 9.5 8.5 10.0 9.5 10.0 a. Use the provided information to formulate an assignment model. Solve the optimization problem to help the event planner match the winners with the vacation packages. What is the highest overall preference score that the event planner can achieve? Note: Round your answer to 1 decimal place. Out of the possible 40 points, the highest overall score is

At a fundraising dinner, four attendees win a raffle for a free vacation package. The event planner needs to match each of the four winners with one of the four vacation packages at an oceanside bungalow, a mountain cabin, a condo near a golf course, and a mansion in wine country. Each winner is asked to provide their preferences on the four packages on a scale of 1 to 10, with 10 being the most preferred. The accompanying table shows their preferences. To maintain the impartiality of the event planner, the names of the winners are not listed with their preferences. Winners A B D Oceanside 8.5 8.5 8.5 10.0 Mountain 9.0 9.0 9.0 9.5 Golf course Wine country 8.5 9.0 9.5 9.5 8.5 10.0 9.5 10.0 a. Use the provided information to formulate an assignment model. Solve the optimization problem to help the event planner match the winners with the vacation packages. What is the highest overall preference score that the event planner can achieve? Note: Round your answer to 1 decimal place. Out of the possible 40 points, the highest overall score is

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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At a fundraising dinner, four attendees win a raffle for a free vacation package. The event planner needs to match each of the four winners with one of the four vacation packages at an oceanside bungalow, a mountain cabin, a condo near a golf course, and a mansion in wine country. Each winner is asked to provide their preferences on the four packages on a scale of 1 to 10, with 10 being the most preferred. The accompanying table shows their preferences. To maintain the impartiality of the event planner, the names of the winners are not listed with their preferences. Winners A B D Oceanside 8.5 8.5 8.5 10.0 Mountain 9.0 9.0 9.0 9.5 Winner Winner Golf course Wine country 8.5 9.0 9.5 9.5 8.5 10.0 9.5 10.0 a. Use the provided information to formulate an assignment model. Solve the optimization problem to help the event planner match the winners with the vacation packages. What is the highest overall preference score that the event planner can achieve? Note: Round your answer to 1 decimal place. Out of the possible 40 points, the highest overall score is b. Which winners should receive the oceanside bungalow and wine country packages? should receive the oceanside bungalow package. should go receive the wine country package.
Transcribed Image Text:At a fundraising dinner, four attendees win a raffle for a free vacation package. The event planner needs to match each of the four winners with one of the four vacation packages at an oceanside bungalow, a mountain cabin, a condo near a golf course, and a mansion in wine country. Each winner is asked to provide their preferences on the four packages on a scale of 1 to 10, with 10 being the most preferred. The accompanying table shows their preferences. To maintain the impartiality of the event planner, the names of the winners are not listed with their preferences. Winners A B D Oceanside 8.5 8.5 8.5 10.0 Mountain 9.0 9.0 9.0 9.5 Winner Winner Golf course Wine country 8.5 9.0 9.5 9.5 8.5 10.0 9.5 10.0 a. Use the provided information to formulate an assignment model. Solve the optimization problem to help the event planner match the winners with the vacation packages. What is the highest overall preference score that the event planner can achieve? Note: Round your answer to 1 decimal place. Out of the possible 40 points, the highest overall score is b. Which winners should receive the oceanside bungalow and wine country packages? should receive the oceanside bungalow package. should go receive the wine country package.
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