A manufacturer makes two types of toys A...

A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the tune (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

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A manufacturer makes two types of toys A and B.Three machines are needed for this purpose and the time (in minutes) required for each toy on the machines is given below: The machine I, II and III are available for a maximum of 3 hours, 2 hours and 2 hours 30 minutes respectively.The profit on each toy of type A is ₹ 50 and that of type B is ₹ 60.Formulate the above problem as a LPP and solve graphically to maximize profit.

A manufacture makes two types of cups A and B. Three machines are required to manufacture the cups and the time in minutes required by each in as given below: Each machine is available for a maximum period of 6 hours per day. If the profit on each cup A is 75 paisa and on B is 50 paisa, find how many cups of each type should be manufactures to maximise the profit per day.

A manufacturer produces two types of soaps using two machines A and B . A is operated for 2 minutes and B for 3 minutes to manufacture first type , while it takes 3 minutes on machine A and 5 minutes on machine B to manufature second type . Each machine can be operated at the most for 8 hours per day . The two types of soap are sold at a profit of Rs 0.25 and Rs 0.05 each respectively . Assuming that the manufactured can sell all the soaps he can manufacture , how many soaps of each type should be manufature per day so as to maximize his profit .

A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at Rs. 7 profit and that of B at a profit of Rs. 4. Find the production level per day for maximum profit graphically.

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?

NAGEEN PRAKASHAN-LINEAR PROGRAMMING-Exercise 12 B

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