Model the following scenario. Define variables, write the objective function and constraints. (5 marks) Martha Manufacturing a product through three separate production lines A, B and C. Costs for producing a product through each line as well as maximum outputs of each line and fixed cost associated with setting up the line is shown below:

Fixed cost 180 200

C 1.25 25 190

The company has received an order of 55 units to be produced.

Model the problem for optimum number of products to be made from each production line.

Service

Strong

Full Price

450

Production line

Cost per unit

Maximum production

A

1.5

28

B

1.0

32