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A manufacturing company makes two types of teaching aids A and B of Maths for class XII. Each type of A requires 9 labour hours for fabricating and 1 labour hour for fininshing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for fininshing. For fabricating and finishing , the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs 80 and each type of A and Rs 120 on each type of B. How many pieces of type A and type B should be manufactured per week to realise a maximum profit? What is the maximium profit per week?

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A manufacturing company makes two types of teaching aids A and B of Mathematics for class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available per week are 180 and 30 respectively. The company makes a profit of ₹ 80 on each piece of type A and ₹ 120 on each piece of type B. How many pieces of type A and type B should be manufactured per week to get a maximum profit ? Make it as LPP and solve graphically. What is the maximum profit per week ?

A manufacturing company makes two models A and B of a product. Each pice of model a requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of model of B requires 12 labour hours for fabricating and 3 hour for finishing. For fabricating and finishing, the maximum labour hours avaibale are 180 and 30 respectively. 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 pieces of model A and model B should be manufactured per week to realise a maximum profit? what is the maximum profit per week?

A company manufactures two types of novelty 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 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 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 doll manufacturing company manufatures two types of dolls, type A and type B. Each doll of type A takes twice as long as to produce of type B. The company has enough time to manufacture as maximum of 2000 dolls per day if it produces only type B dolls. The supply of plastic is sufficient enough to manufacture a total of 1500 dolls every day. The type A dolls requires fancy dress of which only 550 are available daily. If the company makes a profit of Rs.8 on each type of doll A and Rs.5 on each type of doll B. how many of each type of dolls should the company manufacture everyday so as to get a maximum profit. Also find the 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.

MODERN PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. A merchant plans to sell two types of personal computers – a desktop m...

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  2. A manufacturing company makes two types of teaching aids A and B of Ma...

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  3. A manufacturing company makes two types of teaching aids A and B of Ma...

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  4. Two tailors A and B earn Rs 150 and Rs 200 per day respectively. A can...

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  5. A cooperative society of farmers has 50 hectare of land to grow two cr...

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  6. A diet is to contain at least 80 units of vitamin A and 100 units of m...

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  7. Food X contains 6 units of vitamin A per g and 7 units of vitamin B pe...

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  8. A diet is to contain at least 80 units of vitamin A and 100 units of m...

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  9. A dietician wishes to mix two types of foods in such a way that vitami...

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  10. There are two factories located one at place P and the other at place ...

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  11. In how much time will a train 250 m long, running at 50 km/hr pass a m...

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  12. Solve the following LPP graphically : Maximize Z=3x+5y subject to x+yl...

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  13. Solve the following LPP graphically : Maximize Z=-3x+4y subject to x+2...

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  14. In a triangle ABC, if a = 18, b = 24 and c = 30, find sin A, sin B and...

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  15. Solve the following LPP graphically : Minimize Z= 3x+5y subject to x+3...

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  16. In a triangle ABC, if a = 18, b = 24 and c = 30. Is it a right angled ...

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  17. Solve the following Linear Programming Problem graphically: Minimise Z...

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  18. Graphically minimize and maximize z = 5x + 10y subject to the constrai...

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  19. Maximise Z = x + 2y subject to: x + 2y ge 100, 2x – y le 0, 2x + yle 2...

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  20. Maximize Z=-x+2y subject to xge3, x+yge5, x+2yge6, yge0

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