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A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 h of machine time and 3 h of machine time in its making while a cricket bat takes 3 hours of machine time and 1 h of craftsman's time. In a day, the factory has the availability of not more than 42 h of machine time and 24 h of craftsman's time. (a) What number of rackets and bats must be made, if the factory is to work at full capacity? (b) If the profits on rackets and on bats are Rs. 20 and Rs. 10 respectively, find the maximum profit of the factory when it works at full capacity. |
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Answer» A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 h of machine time and 3 h of machine time in its making while a cricket bat takes 3 hours of machine time and 1 h of craftsman's time. In a day, the factory has the availability of not more than 42 h of machine time and 24 h of craftsman's time. (a) What number of rackets and bats must be made, if the factory is to work at full capacity? (b) If the profits on rackets and on bats are Rs. 20 and Rs. 10 respectively, find the maximum profit of the factory when it works at full capacity. |
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