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A dietician wishes to mix two types of f...

A dietician wishes to mix two types of food in such a way that the vitamin contents of the mixture contains atleast 8 units of vitamin A and 10 units of vitamin C. Food I contains two units/kg of vitamin A and one unit /kg of vitamin C while Food II contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It cost Rs 5 per kg to purchase Food I and Rs 7 per kg to purchase food II. Formulate the problem for minimum of such a mixture. Formulate tha above as a LPP and solve it graphically.

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A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain atleast 8 units of vitamin A and 10 units of vitamin C. Food ‘I’ contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food ‘II’ contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs 50 per kg to purchase Food ‘I’ and Rs 70 per kg to purchase Food ‘II’. Formulate this problem as a linear programming problem to minimise the cost of such a mixture.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs 60/kg and food Q costs Rs 80/kg. Food P contains 3 units/kg of vitamin A and 5 units/kg of vitamin B while food Q contains 4 units/kg of vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.

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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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