A manufacturing company makes two models A and B of a product. Each pice of model a requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of model of B requires 12 labour hours for fabricating and 3 hour for finishing. For fabricating and finishing, the maximum labour hours avaibale are 180 and 30 respectively. the company makes a profit of Rs.8000 on each piece of model A and Rs.12000 on each piece of model B. How many pieces of model A and model B should be manufactured per week to realise a maximum profit? what is the maximum profit per week?

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 manufacturing company makes two types of teaching aids A and B of Mathematics for class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available per week are 180 and 30 respectively. The company makes a profit of ₹ 80 on each piece of type A and ₹ 120 on each piece of type B. How many pieces of type A and type B should be manufactured per week to get a maximum profit ? Make it as LPP and solve graphically. What is the maximum profit per week ?

A manufacture produces two Models of bikes. Model X and Model Y. Model X takes a 6 man hours to make per unit, while Model Y takes 10 man hours per unit. There is a total of 450 man hour available per week handing and marketing costs are Rs.2000 and Rs.1000 per unit of MOdels X and Y respectively. the total funds avilable for these purposes are Rs.80000 per week. Profits per units for Models X and Y are Rs.1000 and Rs.500 respectively. how many bikes of each model should be the manufacture producer so as to yield a maximum profit? find the profit.

A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximise the profit?

A doll manufacturing company manufatures two types of dolls, type A and type B. Each doll of type A takes twice as long as to produce of type B. The company has enough time to manufacture as maximum of 2000 dolls per day if it produces only type B dolls. The supply of plastic is sufficient enough to manufacture a total of 1500 dolls every day. The type A dolls requires fancy dress of which only 550 are available daily. If the company makes a profit of Rs.8 on each type of doll A and Rs.5 on each type of doll B. how many of each type of dolls should the company manufacture everyday so as to get a maximum profit. Also find the maximum profit.

A furniture firm manufactures chairs and tables, each requiring the use of three machines A, B and C. Production of one chair requires 2 hours on machine A, 1 hour 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 obtained by selling on chair is ₹ 30 while by selling one table the profit is ₹ 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. How many chairs and tables should be made per week so as to maximize profit ? Formulate the problem as L.P.P. and sovle it graphically.

A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rs17.50 per package on nuts and Rs 7.00 per package on bolts. How many packages of each should be produced each day so as to maximise his profit, if he operates his machines for at the most 12 hours a day?

A manufacture make two types of toys A and B. three machines are needed for this purpose and the time required for each toy on the machines is given below: Each machine is available for a maximum of 6 hours per day. if hte profit on each type A is Rs.7.50 and that on each toy of type B is Rs.5. show that 15 toys of type A and 30 of type B should be manufactured in a day to get maximum profit.