10-09 (Algorithmic) The Ace Manufacturing Company has orders for three similar products: Product Order (Units) A 1950 B 400 C 1300 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 as follows: Machine Capacity (Units) 1 1600 2 1400 3 1000 Product Machine A B C 1 $1.00 $1.30 $0.90 2 $1.30 $1.30 $1.30 3 $0.80 $0.90 $1.20 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. If required, round your answers to one decimal place. The linear programming formulation and optimal solution are shown. Let x1A Units of product A on machine 1 x1B = Units of product B on machine 1 x3C = Units of product C on machine 3 Min fill in the blank 1 x1A + fill in the blank 2 x1B + fill in the blank 3 x1C + fill in the blank 4 x2A + fill in the blank 5 x2B + fill in the blank 6 x2C + fill in the blank 7 x3A + fill in the blank 8 x3B + fill in the blank 9 x3C s.t. fill in the blank 10 x1A + fill in the blank 11 x1B + fill in the blank 12 x1C fill in the blank 13 fill in the blank 14 x2A + fill in the blank 15 x2B + fill in the blank 16 x2C fill in the blank 17 fill in the blank 18 x3A + fill in the blank 19 x3B + fill in the blank 20 x3C fill in the blank 21 fill in the blank 22 x1A + fill in the blank 23 x2A + + fill in the blank 24 x3A = fill in the blank 25 fill in the blank 26 x1B + fill in the blank 27 x2B + fill in the blank 28 x3B = fill in the blank 29 fill in the blank 30 x1C + fill in the blank 31 x2C + fill in the blank 32 x3C = fill in the blank 33 xij 0 for all i, j Optimal Solution Units Cost 1-A fill in the blank 34 $fill in the blank 35 1-B fill in the blank 36 $fill in the blank 37 1-C fill in the blank 38 fill in the blank 39 2-A fill in the blank 40 fill in the blank 41 2-B fill in the blank 42 $fill in the blank 43 2-C fill in the blank 44 $fill in the blank 45 3-A fill in the blank 46 fill in the blank 47 3-B fill in the blank 48 fill in the blank 49 3-C fill in the blank 50 $fill in the blank 51 Total $fill in the blank 52