1.

A factory manufactures two types of screws A and B, each type requiring the umachines, an automatic and a hand-operated.It takes 4 minutes on the automatic and 6minutes on the hand-operated machines to manufacture a packet of screws'A' while ittakes 6 minutes on the automatic and 3 minutes on the hand-operated machine tomanufacture a packet of screws 'B'. Each machine is available for at most 4 hours on anyday. The manufacturer can sell a packet of screws 'A' at a profit of 70 paise and screws 'B'at a profit of Rs 1. Assuming that he can sell all the screws he manufactures, how manypackets of each type should the factory owner produce in a day in order to maximize his29.se of twoprofit ? Formulate the above LPP and solve it graphically and find the maximum profit.

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