A manufacture company makes two models `A` and `B` of a product. Each piece of model `A` requires 9 labour hours for fabricating and 1 labour hour for finishing and `B` requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing the maximum labour hours available are 180 and 30 respectively per week. 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 piece of Model `A` and `B` should be manufactured per week to realise a maximum profit? What is the maximum profit per week?

A company manufactures two types of rovelty 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 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.

A manufacturer makes two types of tea cups, say A and B. Three machines are needed for the manufacturing and the time in minutes required for each cup on the machine is given below: Each machine is available for a maximum of 6 hrs per day. If the profit on each cup A is 75 paise and that on each cup B is 50 paise. Show that 15 tea cups of type A and 30 tea cups of type B should be manufactured in a day to get the maximum profit.

A manufacturur 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 Rs.17.50 per package on nuts and Rs.7 per package on bolts.How many package of each should be produced each day so as to maximise the profit,if he operates his machine for at the most 12 hours a days? Formulate the problem as a linear programming problem.

A manufacturing company sells its products at 10 % profit. If the manufacturing cost of a product is Rs. 350 , at what price do they sell it?

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 profit of Rs. 17.50 per package on nuts and Rs. 7.00 per package on bolts. Formulate the above LPP if the machine operates for at most 12 hours a day

A company produces two types of goods, A and B , that require gold and silver. Each unit of type A requires 3 gm of silver and 1 gm of gold while that of type B requires 1 gm of silver and 2 gm of gold. The company can use 9 gm of silver and 8 gm of gold. If each unit of type A brings a profit of Rs. 40 and that of type B Rs. 50 , find the number of units of each type that the company should produce to maximise the profit. What is the maximum profit.

(Manufacturing problem) A manufacturer has three machines I , II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours where as machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given in the following table: She makes a profit of Rs 600 and Rs 400 on items M and N respectively. How many of each item should she produce so as to maximise her profit assuming that she can swll all the items that she produced ? What will be the maximum profit ?