Question

Problem 6-09 (Algorithmic) The Ace Manufacturing Company has orders for three similar products Product Order (Units) 1950 600 1100 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 Capacity Machine (Units) 1600 1500 1100 3 Product Machine $1.20 $1.00 $0.80 $1.30 $1.20 $1.30 2 $1.10 $1.10 $1.30 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. If the constant is "1" it must be entered in the box. If your answer is zero enter "O" The linear programming formulation and optimal solution are shown 1.3 x3C Let xij Units of product j on machine i 1.1 X3A+ 1.3 1.2 x2B+ 1.3 X2A+ 0.8 x1C+ 1.2 X1B+ Min 1 X1B 1 X2B 1 X3A 1 X1A 1 x2B 1 X1B 1 X2C 1 X1C xij 2 0 for all i, j If required, round your answers to the nearest whole number. Cost Optimal SolutionUnits 1-A 1-B 1-C 2-A 2-B 2-C 3-A 3-B 3-C Total $

Answer 1

Solver screenshot

X1C X1A X1B X3B 350 600 1100 Objectrive function 3765 500 1100 0 950 1100

Optimal solution	Units	Cost
1-A	500	500
1-B	0	0
1-C	1100	880
2-A	350	455
2-B	600	720
2-C	0	0
3-A	1100	1210
3-B	0	0
3-C	0	0
		Total 3765