25. A company produces two products, A and B. The sales volume of product A is at least 60 percent of the total sales of the two products. Both the products use the same raw material of which the daily availability is limited to 100 tonnes. Products A and B use this material at the rate of 2 tonnes per unit and 4 tonnes per unit, respectively. The sales price for the two products are Rs 20 and Rs 40 per unit.

(a) Construct a linear programming formulation of the problem.

(b) Find the optimum solution by simplex method.

(

c) Find an alternative optimum, if any. (M Com, Kolkata, 1996)