A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at Rs. 7 profit and that of B at a profit of Rs. 4. Find the production level per day for maximum profit graphically.

A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at ₹ 7 profit and that of B at a profit oft ₹ 4. Find the production level per day for maximum profit graphically.

A manfufacturer produces two products A and B.Both the products are processed on two different machines.The available capacity of the first machines is 12 hours and that of second machine is 9 hours.Each unit of product A require 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on the second machine.Each unit of product A is sold at a profit of ₹ 5 and B at a profit ₹ 6. Find the productive level for maximum profit graphically.

A toy manufacturing farm produces toys T_1 and T_2 each of which must be processed through two machines M_1 and M_2. The maximum availablity of machines M_1 and M_2 per day are 14 hours and 20 hours respectively. Manufacturing of toy T_1, requires 5 hours on machine M_1 If the 3 hours on machine M_2 whereas toy T_2, requires 4 hours on machine M_1, and 6 hours on machine M_2. If the profit on manufacturing of toy T, is Rs.50 and profit on manufacturing of toy T_2 is Rs.70, formulate this problem as L.P.P. in order to maximize the profit.

A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the tune (in minutes) required for each toy on the machines is given below: Each machine is available for a maximum of 6 hours per day. If the profit

A manufacture make two types of furniture,chairs and tables.Both the products are processed on three machines A_1,A_2 and A_3 .Machine A_1 requires 3 hours for a chair and 3 hours for a table,machine A_2 requires 5 hours for a chair and 2 hours for a table and machine A_3 requires 2hours for a chair and 6 hours for a table.Maximum time available on machine A_1,A_2 and A_3 is 36 hours,50 hours and 60 hours respectively.Profits are Rs.20 per chair and Rs.30 per table.Formulate the above as a linear programming problem to maximize the profit.