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A cooperative society of farmers has 50 ...

A cooperative society of farmers has 50 hectare of land to grow two crops X and Y. The profit from crops X and Y per hectare are estimated as Rs 10,500 and Rs 9,000 respectively. To control weeds, a liquid herbicide has to be used for crops X and Y at rates of 20 litres and 10 litres per hectare. Further, no more than 800 litres of herbicide should be used in order to protect fish and wild life using a pond which collects drainage from this land. How much land should be allocated to each crop so as to maximise the total profit of the society?

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MODERN PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. The feasible solution for a LPP is shown in the following figure. Let ...

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  2. The maximum value of Z=3x+4y subject to the contraints : x+yle4, xge0,...

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  3. The maximum value of Z=3x+5y subject to the contraints : x+yle4, xge0,...

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  4. The maximum value of Z=4x+5y subject to the contraints : x+yle4, xge0,...

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  5. The maximum value of Z=2x+3y subject to the contraints : x+yle1, 3x+yl...

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  6. Minimum value of Z=5x+3y subject to 2x+yge10, x+3yge15, xle10, yle8, x...

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  7. Any point in half plane 2x+3y-12ge0 is

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  8. The linear constraints for which the shaded area in the above figure i...

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  9. Any feasible solution which maximises or minimises the objective funct...

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  10. If x+yle2, xge0, yge0, the point at which maximum value of 3x+2y attai...

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  11. The graph of the inequation 3x+2y>6 does not lie in the fourth quadran...

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  12. Draw the graph of the following LPP: 3x+yle17, xge0,yge0.

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  13. Maximize Z=4x+y subject to : x+yle50, x,yge0

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  14. Solve the following LPP graphically : Maximize Z=4x+y subject to x+yle...

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

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  16. If a man rides his motor cycle at 25 km/hr, he has to spend Rs 2 per k...

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  17. A manufacturer produces two products A and B. Both the products are pr...

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

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

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  20. A dietician wishes to mix two types of food in such a way that the vit...

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