Problem:
How do I set up the contraints?
A firm is engaged in the production of three types of products A, B, and C. The products earn profit of $3, $5 and $4 per unit respectively. Each product goes through three operations: cutting, sewing, and inspection. During the next period, the firm has 300 hours of cutting, 300 hours of sewing, and 150 hours of inspection time available. The sales force requires that at least 1000 units of product 1 be produced next period. The time (in minutes) taken for each product in each department is shown below. (Hint: 4 constraints).
-------------- A--------- B----------- C
Cutting----- 12 -------- 10 -------- 8
Sewing----- 15 -------- 15 -------- 12
Inspection - 3 -------- 4 ----------- 2
Provide complete and step by step solution for the question and show calculations and use formulas.