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A dealer wishes to purchase a number of ...

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has a space for at most 20 items. A fan costs him Rs. 360 and a sewing machine Rs. 240. His expectation is that he can sell a fan at a profit of Rs. 22 and a sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize the profit? Formulate this as a linear programming problem and solve it graphically.

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8 fans and 12 sewing machines.
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A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated sewing machine at a profit of Rs. 18. Assuming 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 as a LPP and solve it graphically.

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A dealer deals in two items A and B He has Rs. 15000 to invest and a space to store almost 80 pieces Item A costs him Rs 300 and item B costs him Rs. 150 He can sell items A and B at profits of Rs 40 and Rs 25 respectively Assuming that he can sell all that he buys formulate the above as a linear programming prioblem for maximum profit and solve it graphically

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MODERN PUBLICATION-LINEAR PROGRAMMING -EXERCISE 12 C (Long Answer Type Questions )
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  2. A dealer deals in two items A and B He has Rs. 15000 to invest and a s...

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  3. A manufacture produceds two types of steel trunks. He has two machines...

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  4. A factory manufatures two types pf screws A and B, Each type of screw ...

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  5. A dealer wishes to purchase a number of fans and sewing machines. He h...

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  6. (i) A manufacturer produces nuts and bolts for industrial machinery.It...

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  7. A shopkeeper manufactures gold rings and chains.The combined number of...

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  8. A man has ₹1,500 for the purchase of Rice and Wheat.A bag of rice and ...

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  9. A cottage industry manufactures pedestal lamps and wooden shades, e...

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  10. A company manufactures two types of novelty souvenirs made of plywo...

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  11. A merchant plans to sell two types of personal computers - a deskto...

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  12. (Manufacturing problem) A manufacturing company makes two models A ...

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  13. A manufacturing company makes two types of teaching aids A and B . Eac...

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  14. Two tailors A and B are paid ₹ 225 and ₹ 300 per day respectively.A ca...

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  15. (Allocation problem) A cooperative society of farmers has 50 hectar...

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  16. A diet for a sick person must contain at least 4000 units of vitamins,...

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  17. Food X contains 6 units of vitamin A per gm and 7 units of vitamin B p...

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  18. A diet is to contain at least 80 units of Vitamin A and 100 units o...

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  19. (Diet problem): A dietician wishes to mix two types of foods in suc...

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

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