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Mathematics, 25.03.2021 18:30 hannahkharel2

A company is developing its weekly production plan. The company produces two products, A and B, which are processed in two departments. Setting up each batch of A requires $60 of labor while setting up a batch of B costs $80. Each unit of A generates a profit of $17 while a unit of B earns a profit of $21. The company can sell all the units it produces. The data for the problem are summarized below. Hours required by
Operation A B Hours
Cutting 3 4 48
Welding 2 1 36

The decision variables are defined as:

xi = the amount of product i produced
yi = 1 if xi > 0 and 0 if xi = 0

What is the objective function for this problem?
a. Maximize: 17x1 + 21x2 - 60y1 - 80y2
b. Minimize: 60y1 + 80y2
c. Minimize: 17x1 + 21x2 - 60y1 - 80y2

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