Question: A firm makes 2 products X &Y and has a total production capacity of 9 tons per day, X & Y require the same production capacity. The firm has a permanent contract to supply atleast 2 tons of X and atleast 3 tons of Y per day to another company. Each ton of X requires 20 machine hours and each ton of Y requires 15 machine hours. The daily maximum possible number of machines hours is 360. All the firm's output can be sold and the profit made is Rs 80 per ton of X and Rs 120 per ton of Y. Find out the optimum mix using graphical method.