The Ace Manufacturing Company has orders for three similar products

The Ace Manufacturing Company has orders for three similar products. Orders Product c (units) 1,900 700 1,200 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. Machine 1 2 3 Product A B c Capacity (units) 1,400 1,300 1,300 Machine 1 $1.00 $1.20 $0.90 2 $1.30 $1.40 $1.20 3 $1.10 $1.00 $1.20 Develop the linear programming formulation of this problem. (Let x A1 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 Xi 2 0 for all i, j.