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Two products A and B are to be manufactured. One unit of product A requires 2.4 minutes of punch press time and 5 minutes of assembly time. The profit for product A is K0.60 per unit. One unit of product B requires 3 minutes of punch press time and 2.5 minutes of welding time. The profit for product B is K0.70 per unit. The capacity of the punch press department available for these products is 1,200 minutes/week. The welding department has an idle capacity of 600 minutes per week an assembly department has 1,500 minutes per week. i. Formulate the problem as linear programming problem. ii. Determine the quantities of products A and B so that total profit is maximized by simplex method.

Two products A and B are to be manufactured. One unit of product A requires 2.4 minutes
of punch press time and 5 minutes of assembly time. The profit for product A is K0.60 per
unit. One unit of product B requires 3 minutes of punch press time and 2.5 minutes of
welding time. The profit for product B is K0.70 per unit. The capacity of the punch press
department available for these products is 1,200 minutes/week. The welding department
has an idle capacity of 600 minutes per week an assembly department has 1,500 minutes
per week.
i. Formulate the problem as linear programming problem.
ii. Determine the quantities of products A and B so that total profit is maximized by
simplex method.

Grade:12th pass

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