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(i) A manufacturer produces nuts and bol...

(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?

Text Solution

Verified by Experts

The correct Answer is:
Max. profit is ₹ 73.50 and it is obtained when 3 packages each of Nuts and Bolts are produced daily.
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