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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 data file shows their preferences. To maintain the impartiality of the event planner, the names of the winners are not listed with their preferences.
Formulate and solve the assignment 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?
Which winners should receive the oceanside bungalow and wine country packages?