The Ace Manufacturing Company has orders for three similar products. Orders (units) Product Min A s.t. B с 1 2 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 3 A A A B a с Product G 1₂ 3 Machine 1 Capacity Machine 2 Capacity 2,000 Machine 3 Capacity 600 Use the transportation model to develop the minimum cost production schedule for the products and machines. (a) Show the linear programming formulation. (Let XA1 be the number of units of product A produced by machine 1, x, be the number of units of product i produced by machine J, etc.) Product A Orders 1,300 1 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 Product B Orders Capacity (units) 1,700 1,600 1,000 Machine
The Ace Manufacturing Company has orders for three similar products. Orders (units) Product Min A s.t. B с 1 2 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 3 A A A B a с Product G 1₂ 3 Machine 1 Capacity Machine 2 Capacity 2,000 Machine 3 Capacity 600 Use the transportation model to develop the minimum cost production schedule for the products and machines. (a) Show the linear programming formulation. (Let XA1 be the number of units of product A produced by machine 1, x, be the number of units of product i produced by machine J, etc.) Product A Orders 1,300 1 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 Product B Orders Capacity (units) 1,700 1,600 1,000 Machine
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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