A light metal company manufactures two products A and B . Each product must pass through two processing sections L and M. A good number of machines are available in both the sections. One unit of product A requires 2 hours of processing time in L and . 1 hour in M . One unit of product B requires 1 hour of processing time in L and 4 hours in M. Total time available in section L is 6000 hours whereas in section M, it is 10000 hours. The net profit for product A 3·50 per unit and for product B 5·00 per unit. The company wishes to maximize the total net profit.(i) Formulate the problem as a linear programming problem.(ii) Find the optimum production schedule that will maximize the total net profit per week by graphical method or otherwise
A light metal company manufactures two products A and B . Each product must pass
through two processing sections L and M. A good number of machines are available in both the
sections. One unit of product A requires 2 hours of processing time in L and . 1 hour in M . One
unit of product B requires 1 hour of processing time in L and 4 hours in M. Total time available
in section L is 6000 hours whereas in section M, it is 10000 hours. The net profit for product A
3·50 per unit and for product B 5·00 per unit. The company wishes to maximize the total net
profit.(i) Formulate the problem as a linear programming problem.(ii) Find the optimum
production schedule that will maximize the total net profit per week by graphical method or otherwise
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