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Formulate the linear programming problem.
Mighty Manufacturing must decide on the processes to use to produce 1650 units. If machine 1 is used, its production will be between 300 and 1500 units. Machine 2 or machine 3 can be used only if machine 1's production is at least 1000 units. Machine 4 can be used with no restrictions.
Machine
Fixed cost
Variable cost
Minimum Production
Maximum Production
1
500
2.00
300
1500
2
800
0.50
1200
3
200
3.00
100
4
50
5.00
any
(a) Describe all variables
(b) Formulate a linear programming model of the problem.
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