A factory manufactures two types of screws, A and B. Each type of screw requires theuse of two machines, an automatic and a hand operated. It takes 4 minutes on theautomatic and 6 minutes on hand operated machines to manufacture a package of screwsA, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines tomanufacture a package of screws B. Each machine is available for at the most 4 hours onany day. The manufacturer can sell a package of screws A at a profit of $7 and screwsB at a profit of $10. Assuming that he can sell all the screws he manufactures, howmany packages of each type should the factory owner produce in a day in order tomaximize his profit? Determine the maximum profit.
A factory manufactures two types of screws, A and B. Each type of screw requires theuse of two machines, an automatic and a hand operated. It takes 4 minutes on theautomatic and 6 minutes on hand operated machines to manufacture a package of screwsA, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines tomanufacture a package of screws B. Each machine is available for at the most 4 hours onany day. The manufacturer can sell a package of screws A at a profit of $7 and screwsB at a profit of $10. Assuming that he can sell all the screws he manufactures, howmany packages of each type should the factory owner produce in a day in order tomaximize his profit? Determine the maximum profit.
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