A television manufacturing company manufactures three types of televisions, namely A, B and C, and makes a profit of Rs. 300, Rs. 200 and Rs. 400 respectively on each type of set. Each TV passes through two manufacturing processes, namely X and Y and the time in each process per unit of each production is as follows: A C X: 4 3 5 Y: 5 7 Processes are available for maximum 200 hours and 300 hours respectively. The company can manufacture a maximum number of 100 A-type, 200 B-type and 125 but not less than 50 C-type televisions. If all of them are sold, pose a linear programming problem for maximization of profit.