Defining variables, minimizing total cost and finding constraints. Attachments in MS Word and Excel.

The Westfall Company has a contract to produce 10,000 garden hoses for
a large discount chain. Westfall has four 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.



Fixed Cost to Set Up Variable Cost

Machine Production Run Per Hose Capacity

1 750 1.25 6000

2 500 1.50 7500

3 1000 1.00 4000

4 300 2.00 5000



a. This problem requires two different kinds of decision variables.
Clearly define each kind.

b. The company wants to minimize total cost. Give the objective
function.

c. Give the constraints for the problem.