26. A firm makes two products, X and Y and has total production capacity of 9 tonnes per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply at least 2 tonnes of X and at least 3 tonnes of Y per day to another company. Each tonne of X requires 20 machine hours production time and each tonne of Y requires 50 machine hours 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 Rs 80 per tonne of X and Rs 120 per tonne of Y. It is required to determine the production schedule for maximum profit and to calculate this profit.