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7. A tire manufacturer supplies tires to three vehicle manufacturers-Hyundai, Honda, and Toyota. Vehicle manufacturers buy tires for their cars in multiples of five from

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7. A tire manufacturer supplies tires to three vehicle manufacturers-Hyundai, Honda, and Toyota. Vehicle manufacturers buy tires for their cars in multiples of five from the different plants as four tires are assembled with each car and one is used as a spare. The tire manufacturing plants are located in three cities-A, B, and C. The capacity of each plant is: City Capacity (tires) 800 1200 1700 B The number of cars planned to be produced by the different vehicle manufacturers are: Planned Production (cars) 200 Company Hyundai Honda Toyota 350 100 The number of cars planned to be produced by the different vehicle manufacturers are: Planned Production (cars) Company Hyundai Honda Toyota 200 350 100 The transportation cost in euros per tire from each tire manufacturing plant to vehicle manu- facturing facility is provided in the following table: To (cost, in From Honda B Hyundai 3 2 4 6 5 7 Toyota 4 2 3 The tire manufacturer wants to determine the number of tires supplied from the different tire manufacturing plants to each vehicle manufacturing facility that will minimize the total transporta- tion cost. Note that the words city and plant are used synonymously in the problem. Formulate this problem as a linear programming model and solve it using computer

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