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A library has to accommodate two different types of books on a shelf. The books are 6 cm and 4 cm thick and weight 1 kg and 1 1/2 kg each, respectively. The shelf is 96 cm long and atmost can support a weight of 21 kg. How should the shelf be filled with the books of two types in order to include the greatest number of books ? Make it as an LPP and solve it graphically.

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Best answer

Let two types of books be x and y, respectively. The required LPP is maximise

Z = x+y

Subject to constraints

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