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...

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