A manufacturing company manufacturers two products A and B of three different machines M1, M2, M3. Product A requires 10 hours of machine M1, 5 hours of machine M2 and just an hour of machine M3. The requirements of product B is 6 hours, 10 hours and 2 hours of machine M1, M2 and M3 respectively. Product A makes a profit of $23 per unit and $32 per unit of product B. In the planning period the available capacity of machine M1, M2 and M3 are 2500 hours, 2000 hours and 500 hours respectively. Determine the product mix for maximizing the profit and interpret your results.
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