A factory manufatures two types pf screws A and B, Each type of screw requires the use of two machines, an automatic and a hand operated.It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B.Each machine is available for at the most 4 hours on any day.The manufacturer can sell a package of screws A at a profit of ₹ 7 and screws B at a profit of ₹ 10.Assuming that he can sell all the screws he amnufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit?Determine the maximum profit.

Answer

30 packages of screws A and 20 packages of screws B.Max.profit = ₹ 410.