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3 Aipha ufacturing must decide on a production plan to produce 1650 units of control panels. They have five machines. If machine 1 is used, its production will be between 300 and 1500 units. If machine 2 or machine 3 are used, they can produce up to 1200 and 800 units, respectively. Machine 4 can be used with no restrictions and if we use machine 5, there is a minimum production of 100 units due to its high fixed cost. Machine 1 and 4 cannot be used together due to their high pollution rates. In addition, the total pollution generated by selected machines cannot exceed 20 units. There is a fixed cost associated with setting up each machine and a maximum budget of 1700 on the total fixed cost is set. The fixed cost along with the variable cost per panel are shown in the following table: 1 2 4 5 Machine Fixed cost 500 800 200 50 700 Variable cost 2.00 0.50 3.00 5.00 1.00 Minimum Production 300 0 0 0 100 Maximum Production 1500 1200 800 any any Pollution 8 6 Develop an integer program to help Alpha manufacturing decide which machines to use for panel production and

3 Aipha ufacturing must decide on a production plan to produce 1650 units of control panels. They have five machines. If machine 1 is used, its production will be between 300 and 1500 units. If machine 2 or machine 3 are used, they can produce up to 1200 and 800 units, respectively. Machine 4 can be used with no restrictions and if we use machine 5, there is a minimum production of 100 units due to its high fixed cost. Machine 1 and 4 cannot be used together due to their high pollution rates. In addition, the total pollution generated by selected machines cannot exceed 20 units. There is a fixed cost associated with setting up each machine and a maximum budget of 1700 on the total fixed cost is set. The fixed cost along with the variable cost per panel are shown in the following table: 1 2 4 5 Machine Fixed cost 500 800 200 50 700 Variable cost 2.00 0.50 3.00 5.00 1.00 Minimum Production 300 0 0 0 100 Maximum Production 1500 1200 800 any any Pollution 8 6 Develop an integer program to help Alpha manufacturing decide which machines to use for panel production and

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section: Chapter Questions
Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...
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1 2 3 4 S cost 500 800 200 50 700 cost 2.00 0.50 3.00 5.00 1.00 Production 300 0 O 0 100 Production 1500 1200 800 any any Pollution 8 6 3 a 2 Develop an integer program to help Alpha manufacturing decide which machines to use for panel production and how many panels need to be produced under each machine to minimize total cost. (Define the decision variables, objective function, and all the constraints to receive full credit.)
Transcribed Image Text:1 2 3 4 S cost 500 800 200 50 700 cost 2.00 0.50 3.00 5.00 1.00 Production 300 0 O 0 100 Production 1500 1200 800 any any Pollution 8 6 3 a 2 Develop an integer program to help Alpha manufacturing decide which machines to use for panel production and how many panels need to be produced under each machine to minimize total cost. (Define the decision variables, objective function, and all the constraints to receive full credit.)
Alpha manufacturing must decide on a production plan to produce 1650 units of control panels. They have five machines. If machine 1 is used, its production will be between 300 and 1500 units. If machine 2 or machine 3 are used, they can produce up to 1200 and 800 units, respectively. Machine 4 can be used with no restrictions and if we use machine 5, there is a minimum production of 100 units due to its high fixed cost. Machine 1 and 4 cannot be used together due to their high pollution rates. In addition, the total pollution generated by selected machines cannot exceed 20 units. There is a fixed cost associated with setting up each machine and a maximum budget of 1700 on the total fixed cost is set. The fixed cost along with the variable cost per panel are shown in the following table: 1 3 Machine 2 4 Fixed cost 500 800 200 50 700 Variable cost 2.00 0.50 3.00 5.00 1.00 Minimum Production 300 0 lo 0 100 Maximum Production 1500 1200 800 any any Pollution 8 6 3 Develop an integer program to help Alpha manufacturing decide which machines to use for panel production and how many panels need to be produced under each machine to minimize total cost. (Define the decision variables.
Transcribed Image Text:Alpha manufacturing must decide on a production plan to produce 1650 units of control panels. They have five machines. If machine 1 is used, its production will be between 300 and 1500 units. If machine 2 or machine 3 are used, they can produce up to 1200 and 800 units, respectively. Machine 4 can be used with no restrictions and if we use machine 5, there is a minimum production of 100 units due to its high fixed cost. Machine 1 and 4 cannot be used together due to their high pollution rates. In addition, the total pollution generated by selected machines cannot exceed 20 units. There is a fixed cost associated with setting up each machine and a maximum budget of 1700 on the total fixed cost is set. The fixed cost along with the variable cost per panel are shown in the following table: 1 3 Machine 2 4 Fixed cost 500 800 200 50 700 Variable cost 2.00 0.50 3.00 5.00 1.00 Minimum Production 300 0 lo 0 100 Maximum Production 1500 1200 800 any any Pollution 8 6 3 Develop an integer program to help Alpha manufacturing decide which machines to use for panel production and how many panels need to be produced under each machine to minimize total cost. (Define the decision variables.
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