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August 23, 2022

Boveda Company has a contract to produce 15,000 garden boxes for a large discount chain.

Boveda Company has a contract to produce 15,000 garden boxes for a large discount chain. Boveda has four different machines that can produce this kind of boxes. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same.

Machine	Fixed Cost to Set Up Production Run	Variable Cost per Box	Capacity
1	750	1.25	6000
2	500	1.50	7500
3	1000	1.00	4000
4	300	2.00	5000

Let Pi = number of boxes produced on machine i

Ui = 1 if machine i is used; 0 otherwise

a.	The company wants to minimize total cost. Give the objective function.
b.	Give the constraints for the problem.

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