Question: Mixed Integer Problem (20.0 points)
The Wiethoff Company has a contract to produce 10000 garden hoses for a customer. Wiethoff has 4 different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same.

The objective cost function associated with this model is:

Min Z = 750y1 + 500y2 + 1000y3 + 300y4 + 1.25x1 + 1.5x2 + 1.0x3 + 2.0x4
( F i x e d C o s t s) + (V a r i a b l e C o s t s)

where yi = 1, if machine i is used, and xi = number of hoses produced on machine i.

Based on the optimal solution, what is the total minimum cost associated with this model?

HINT: There are five explicit constraints. The first four involve the capacity of each machine, and each of these first four constraints contains one x and one y variable. Each of these can be expressed as xi - ci*yi <= 0, where ci is the capacity of machine i. The fifth constraint is the contract constraint.

1. 13000 b) 13250 c) 13500 d) 13750
   

Price: $2.99

Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document