Reference no: EM132299253
An impresario wants to put up an exhibit featuring some antique cars. The vehicles potentially available are a Bugatti, Cadillac, Cobra, Corvette, Pierce Arrow, and Studebaker. The impact of the individual vehicles has been estimated in terms of the number of people who would make a special trip to see a vehicle as 58, 37, 42, 40, 55, and 33. The budget of the organizer is $15,000, and the costs to transport the automobiles to the venue (they are presently located at different sites) and the costs of their insurance (depending on the vehicles’ estimated value) are $6,000, $4,000, $3,800, $4,200, $5,500, and $3,200. The obvious idea is to choose vehicles for the exhibit, so as to maximize the impact, while staying within the budget. In addition, there are some further requirements.
• Choose at least three vehicles for the exhibit.
• If a Corvette is included in the exhibit, then a Cobra must also be included.
• If a Bugatti is not included in the show, then a Cadillac must be included.
Formulate the problem as an integer programming model and solve it using Excel Solver.