A firm produces 5 different products from a single raw material. Raw material is available in abundance at Rs. 6 per kg. The labor rate is Rs. 8 per hour for all products. The plant capacity is 21000 labor hours for the budget period. Production facilities can produce all the products. The factory overhead rate is Rs. 8 per hour, comprising Rs. 5.60 per houra as fixed overhead and Rs, 2.40 per hour as variable overhead. The selling commission is 10% of the product price. Formulate the linear programming models to maximize the company's profit, on the basis of following information

Labor hrs Raw material Market Selling price required per required per Product demand(units) |per unit(Rs.) unit unit (in gms) A 4000 32 1 700 B 3600 30 0.8 500 C 4500 48 1.5 1500 D 6000 36 1.1 1300 E 5000 44 1.4 1500