QUESTION ONE

A plant manufactures two products A and B . The profit contribution of each product has been estimated as K20 for product A and K24 for product B . Each product passes through three departments of the plant. The time required for each product and the total time available in each department are as follows:

Hours required

Department Product A Product B Available hours during the month

2 3 1500

3 2 1500

1 1 600

The company has a contract to supply at least 250 units of product B per month. Formulate the problem as a linear programming model and solve by graphical method.