A firm makes two types of furniture : chairs and tables. The contribution to profit for each product as calculated by the accounting department is Rs.20 per chair and Rs.30 per table. Both products are to be processed on three machines $ M_1,M_2 and M_3.$ The time required in hours by each product and total time available in hours per week on each machine are as follows:

Question

Machine chair Table Available Time M1 3 3 36 M2 5 2 50 M3 2 6 60 How should the manufacturer schedule his production in October to maximize profit.