Question 8 (7 points): Bambino is an Italian Company that produces specialized chairs for disabled kids in three factories. The chairs produced by these factories must be shipped to four distribution centers. Factories 1, 2, and 3 manufactures 53, 34, and 31 shipments per week, respectively. Each distribution center must receive 22 shipments per week. Table 11 presents the distance between the factories and the distribution centers. The transportation cost for each shipment is $246 + $20 x(travelled distance in mile). Write a mathematical programming model to minimize the total shipping cost. Table 11- Distance between distribution centers and factories, Distribution Center 2 3 653 miles 1287 miles 2475 miles 749 miles Factories 2155 miles 1560 miles 800 miles 1999 miles 886 miles 1964 miles 642 miles 353 miles