A firm makes two products A and B. It has a total production capacity of 9 tonnes per day, with A and B utilising the same production facilities. The firm has a permanent contract to supply at least 2...

A firm makes two products A and B. It has a total production capacity of 9 tonnes per day, with A and B utilising the same production facilities. The firm has a permanent contract to supply at least 2 tonnes of A per day ti another company. Each tonne of A requires 20 machine hours of production time abd each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. All the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. To formulate the problem of maximising the profit as an LPP and to solve it graphically.