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A farmer has a supply of chemical fertil...

A farmer has a supply of chemical fertilizer of type A which contains 10 % nitrogen and 6% phosphoric acis and type B fertilizer which contains 5% nitrogen and 10% phosphoric acid. After testing the soil condition of a field, it is found that at least 14 kg of nitrogen and 14 kg of phosphoric acid are required for a good crop. The fertilizer type A costs Rs 5 per kg and type B Rs 3 per kg. How many kilograms of each fertilizer should be used to meet the requirements and the cost be minimum? Using LPP, solve the above problem graphically.

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There are two types of fertilisers F_1 and F_2 . F_1 consists of 10% nitrogen and 6% phosphoric acid and F_2 consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If F_1 costs Rs 6/kg and F_2 costs Rs 5/kg, determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?

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MODERN PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. A farmer has a supply of chemical fertilizer of type A which contains ...

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

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  3. Find the solution set of the system of linear contraints : x+yle6, xge...

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  4. Solve the following systems of linear inequalities graphically 3x+4yle...

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  5. Draw the diagrams of the solutions sets of the following linear constr...

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  6. Draw the diagram of the solution sets of the following linear constrai...

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  7. Verity that the solution set of the following constraints is empty : ...

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  8. Verify that the solution set of the following linear constraints : x-2...

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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. Find the first and common difference of AP whose third term is 26 and ...

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  11. A furniture firm manufactues chairs and tables, each requairing the us...

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  12. Maximize Z=x+2y subject to : x+yge5, xge0,yge0

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  13. Maximize Z=2x+3y subject to : x+2yle6, xge4, yge0

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

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  15. Maximize Z=x+2y subject to : x+yge5, xge0,yge0

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  16. Solve the following linear programming problems graphically Minimise...

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  17. Solve the following LPP graphically : Maximize Z=10x+7y subject to 3x+...

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

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

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

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

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