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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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 68P
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The Ace Manufacturing Company has orders for three similar products. Orders Product (units) 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 B B c с 1 Product 2 3 Machine 2 Capacity 2,000 Machine 1 Capacity 600 1,300 Machine 3 Capacity Product A Orders Capacity (units) Product B Orders 1,700 1,600 1,000 1 $1.00 $1.30 $1.10 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.) Machine $1.20 $1.40 $1.00 2 $0.90 $1.20 $1.20 3
Transcribed Image Text:The Ace Manufacturing Company has orders for three similar products. Orders Product (units) 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 B B c с 1 Product 2 3 Machine 2 Capacity 2,000 Machine 1 Capacity 600 1,300 Machine 3 Capacity Product A Orders Capacity (units) Product B Orders 1,700 1,600 1,000 1 $1.00 $1.30 $1.10 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.) Machine $1.20 $1.40 $1.00 2 $0.90 $1.20 $1.20 3
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