Question: 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

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:

Production line	Cost per unit	Maximum production	Fixed cost
A	1.6	38	160
B	1.0	42	210
C	1.55	35	195

The company has received an order of 82 units to be produced.

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

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