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(a) Develop the linear programming formulation of this problem. (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 mach etc.) Min s.t.

(a) Develop the linear programming formulation of this problem. (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 mach etc.) Min s.t.

Practical Management Science
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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The Ace Manufacturing Company has orders for three similar products. DETAILS CAMMIMS16 6.E.009. Min Product s.t. A B с 1 Machine 2 3 A 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 I 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. A B Product B C 1 2 Orders (units) 1,700 3 300 1,200 Capacity (units) 1,400 1,400 600 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 MY NOTES $0.90 $1.20 $1.20 ASK YOUR TEACHER PRACTICE ANOTHER (a) Develop the linear programming formulation of this problem. (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.)
Transcribed Image Text:The Ace Manufacturing Company has orders for three similar products. DETAILS CAMMIMS16 6.E.009. Min Product s.t. A B с 1 Machine 2 3 A 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 I 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. A B Product B C 1 2 Orders (units) 1,700 3 300 1,200 Capacity (units) 1,400 1,400 600 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 MY NOTES $0.90 $1.20 $1.20 ASK YOUR TEACHER PRACTICE ANOTHER (a) Develop the linear programming formulation of this problem. (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.)
s.t Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Product C Orders x 20 for all i, j. (b) Solve the transportation model for the minimum cost production schedule for the products and machines. Show the production schedule. (XA1 XA2 XA3 XB1r XB2 XB3 XC1 XC2 XC3) = Determine the cost (in dollars) the production schedule. Total = $
Transcribed Image Text:s.t Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Product C Orders x 20 for all i, j. (b) Solve the transportation model for the minimum cost production schedule for the products and machines. Show the production schedule. (XA1 XA2 XA3 XB1r XB2 XB3 XC1 XC2 XC3) = Determine the cost (in dollars) the production schedule. Total = $
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