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A dealer in rural area wishes to purchas...

A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs 5670 to invest and has a space for at most 20 items. An electronic sewing machine costs him Rs 360 and manually operated sewing machine Rs 240. He can sell electronic sewing machine at a profit of Rs 22 and a manually operated sewing machine at a profit of Rs 18. Assumning that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit. Make it a linear programming problem and solve it graphically. Keeping the rural background in mind justify the values to be promoted for the selection of the manually operated machine.

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MODERN PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. A dealer in rural area wishes to purchase a number of sewing machines....

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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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