A company manufactures two articles A and B. there are two departments through which these articles are processed,
assembly and
finishing departments. The maximum capacity of the assembly department is 60 hours a week and that of finishing department is 48 hours a week. production of each unit of article A requires 4 hours in assembly and 2 hours in finishing and that of each unit of articel B requires 2 hours in assembly and 4 hours in finishing. if profit is Rs.6 for each unit of A and Rs.8 for each unit of B, find out the number of units A and B to be produced every week to give maximum profits.

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 secnd 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 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 5 profit and that of B at a profit of Rs 6. Find the production level per day for maximum profit graphically.

A company manufactures two types of screws A and B. All the screw have to pass through a threading machine and a slotting machine. A box of type A screws requires 2 minutes on the threading machine and 3 minutes on the slotting machine. A box of type B screws requires 8 minutes of threading on the threading machine and 2 minutes on the slotting machine. in a week, each machine is available for 60 hours. On selling these screws, the company gets a profit of Rs.100 per box n type A screws and Rs.170 per box on type B screws. Formulate this problem as an LPP given that the obejctives is to maximize profit. also solve this LPP graphically to find the maximum profit.

A manufacturing company makes two types of teaching aids A and B of Maths for class XII. Each type of A requires 9 labour hours for fabricating and 1 labour hour for fininshing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for fininshing. For fabricating and finishing , the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs 80 and each type of A and Rs 120 on each type of B. How many pieces of type A and type B should be manufactured per week to realise a maximum profit? What is the maximium profit per week?

A furniture firm manufactues chairs and tables, each requairing the use of three machines A,B and C. Producing of 1 chair requires 2 hours of machine A, 1hour on machine B and 1 hour on machine C. Each table requires 1 hour each on machine A and B and 3 hours on machine C. The profit realised by selling 1 chair is Rs 30 while for a table is Rs 60. The total time available per week on machine A is 70 hours , on machine B is 40 hours and on machine C is 90 hours. Find the mathematical formulation so as to find the number of chairs and tables that should be made per week soto maximizethe profit.