A company sells two different products A and B , making a profit of Rs.40 and Rs. 30 per unit on them, respectively. They are produced in a common production process and are sold in two different markets; the production process has a total capacity of 30,000 man-hours. It takes three hours to produce a unit of A and one hour to produce a unit of B. The market has been surveyed and company official feel that the maximum number of units of A that can be sold is 8,000 units and that of B is 12,000 units. Subject to these limitations, products can be sold in any combination. Formulate the problem and solve it by graphical method to get the maximum profit
