A factory owner purchases two types of machines, A and B fo his factory. The requirements and the limitation for the machines are as followes :

He has maximum area of 9000`m^2` available, and 72 skilled labourers who can operate both the machines. How many machines of each type should be buy to maximise the daily output ?

A factory owner purchases two types of machines A and B for his factory. The requirements and limtations for the machines are as follows: He has an area of 9000 sq m available and 72 skilled men who can operate the machines. How many machines of each type should he buy to maximize th daily output?

A factory owner wants to purchase two types of machines A and B, for his factory. The machine A requries an area of 1000m^2 and 12 skilled men for running it and its daily output is 50 units. Whereas the machine B are requries 1200m^2 area and 8 skilled man, and its daily output is 40 units. if an area of 7600m^2 and 72 skilled men be availabe to operate the machines,how many machines of each type should be brought to maximize the daily output.

A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit? Determine the maximum profit

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 whereas machine III must be operated for at least 5 hours a day. She produces only two items M and N each 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 sell all the items that she produced? What will be the maximum Profit?

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.

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 manufaturer makes two types of toys, A and B cups. Three machines are needed for the the manufacture and the time in minutes required for each cup on the machines in given below: Each machine is available for a maximum of 6 hours per day. If the profit on each toy of type A is Rs 7.5 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 the maximum profit.

A manufacturer makes two types of toys A and B. Three machines are needed for this pupose and the time (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 on ech toy of type A is Rs 7.50 and that on each toy B is Rs 5, show that 15 toys of type A and 30 of type B should be manufactured in a day to gat 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.