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A factory makes tennis rackets and crick...

A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftman’s time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftman’s time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman’s time. If the profit on a racket and on a bat is Rs 20 and Rs 10 respectively, find the maximum profit of the factory when it works at full capacity.

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A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftman’s time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftman’s time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman’s time. What number of rackets and bats must be made if the factory is to work at full capacity?

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PSEB-LINEAR PROGRAMMING-Exercise
  1. Maximise Z= 3x+4y, subject to the constraints x+yle 4, x ge 0, y ge 0

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  2. Solve the following linear programming problem graphically : Minimize ...

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  3. Solve the following linear programming problem Graphically : Maximize ...

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  4. Maximise Z = – x + 2y subject to: x ge 3, x + y ge 5, x + 2y ge 6, y g...

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  5. Maximise Z = – x + 2y subject to: x ge 3, x + y ge 5, x + 2y ge 6, y g...

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  6. Minimise Z = –x + y subject to: x – y le –1, –x + y le 0, x, y ge 0

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  7. Maximise Z = –x + y subject to: x – y le –1, –x + y le 0, x, y ge 0

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  8. One kind of cake requires 100 gm of flour and 50 gm of fat and another...

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  9. A factory makes tennis rackets and cricket bats. A tennis racket takes...

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  10. A factory makes tennis rackets and cricket bats. A tennis racket takes...

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  11. A manufacturer produces nuts and bolts. It takes 1 hour of work on mac...

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  12. A factory manufactures two types of screws, A and B. Each type of scre...

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  13. A cottage industry manufactures pedestal lamps and wooden shades, each...

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  14. A company manufactures two types of novelty souvenirs made of plywood....

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  15. A merchant plans to sell two types of personal computers – a desktop m...

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  16. A diet is to contain at least 80 units of vitamin A and 100 units of m...

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  17. There are two types of fertilisers F1 and F2 . F1 consists of 10% ni...

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  18. The corner points of the feasible region determined by the following s...

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  19. An aeroplane can carry maximum of 200 passengers, A profit of ₹ 400 is...

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  20. A toy company manufactures two types of dolls, A and B. Market tests a...

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