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
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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