A manufacturer produces nuts and bolts. It takes 2 hours work on machine A and 3  hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 2 hours on machine B to produce a package of bolts. He earns a profit of Rs. 24 per package on nuts and Rs. 18 per package on bolts. How many packages of each should be produced each day so as to maximize his profit, if he operates his machines for at the most 10 hours a day. Make an L.P.P. from above and solve 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 Rsl7.50 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?

(i) 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 while it takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts.He earns a profit og ₹ 17.50 per package of nuts and ₹ 7.00 per package of bolts.How many packages of each should be produced each day so as to maiximise his profit, if he operate his machine for at the most 12 hous a day?Form an LPP for the problem and solve it graphically. (ii) 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 amchine A and 1 hour on machine B to produce a package of bolts.He earns a profit ₹35 per package of nuts and ₹14 per package of bolts.How many packages of each should be produced each day so as to maximise his profit, if he operates each machine for atmost 12 hours a day?

A manufacturer produces pend and pencils. It takes 1 hour of work on machine A and 2 hours on machine B to produce a package of pens while it take 2 hours on machine A and 1 hour on machine B to produce a package of pencils . He earn a profit of Rs. 4.00 per package on pens and Rs. 3.00 per package on pencils. How many packages of each should be produce each day so as to maximize his profit, if he operates his machines for at most 12 hours a day ? Formulate the above information mathematically and then solve.

In a small scale industry, a manufacturer produces two types of book cases. The first type of book case requires 3 hours on machine A and 2 hours on machine B for completion whereas the second type of book case requires 3 hours on machine A and 3 hours on machine B. The machines A and B respectively run for at the most 18 hours and 14 hours per day. He earns a profit of 30 on each type of case of first type and 40 on each book case of second type. How many book cases of each type should he manufacture so as to have maximum profit. Make it an LPP and solve it graphically.

A firm makes pants and shirts . A shirt takes 2 hours on machine and 3 hours of man lobour while a pant takes 3 hours on machine and 2 hours of man labour .In a week , there are 70 hours of machine and 75 hous of man lobour available . If the firm dertermines to make x shirts and y pants per week , then for this linear constraints are

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 70 paise and screws B at a profit of Rs 1. 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? Formulate the above LPP and solve it graphically and determine the maximum profit.

A manufacture produceds two types of steel trunks. He has two machines, A and B. The first type of book case requires 3 hours on machine A and 3 hours on machine B for completion whereas the second type required 3 hours on machine A and 2 hours n machine B. Machines A and B can work at most for 18 hours and 15 hours per day respectively. He earns a profit of Rs.30 and Rs.25 per trunk of the first type and second type respectively. How many trunks of each type must he make each day to make the maximum profit?