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 citiesA, B, and C. The capacity of each plant is: City A Capacity (tires) 800 1200 1700 B The number of cars planned to be produced by the different vehicle manufacturers are: Company Hyundai Honda Toyota Planned Production (cars) 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: 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 Honda From Toyota Hyundai 3 2 6 B 4 5 2 4 7 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