Linear Programming This problem has four parts. Please provide a response to eac

Question

Linear Programming

This problem has four parts. Please provide a response to each question.

The Westbridge Company has a contract to produce 10,000 hoses and have four different machines that can produce this type of hose. Because each machine is from a different manufacturer and varies in specification, their capacity and costs to run are not the same. See table below:

Fixed Cost to Set

Up Production Run

Variable Cost

Per Hose

a) Define the two different kinds of decision variables. Hint: one is binary

b) Supposing the company wishes to minimize the total cost, give the objective function in terms of the decision variables stated in part (a).

c) What are the constraints for the problem? Hint: there are 5.

d) Suppose that either machine 1 or machine 4, but the two cannot both be used. Write a constraint to describe this limitation.

Do not need to solve the problem.

Machine   

Fixed Cost to Set

Up Production Run

Variable Cost

Per Hose

Capacity 1 750 1.25 6000 2 500 1.50 7500 3 1000 1.00 4000 4 300 2.00 5000

Explanation / Answer

a. the two constraints are : one is binary and the second one is capacity

b. the variable cost should be minimised in this regards.

c. the fixed cost, capacity, variable capacity and the order

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