The Ace Manufacturing Company has orders for three similar products. Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. (a) Develop the linear programming formulation of this problem. (Let xA1 be the number of units of product A produced by machine 1,xij be the number of units of product i produced by machine j, etc.) Min Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Product C Orders xij0foralli,j. b) Solve the transportation model for the minimum cost production schedule for the products and machines. Show the production schedule. (xA1,xA2,xA3,xB1,xB2,xB3,xC1,xC2,xC3)=(() Determine the cost (in dollars) of the production schedule. Total=$