Reference no: EM132947885

Question - A factory manufactures two types of screws A and B; each type requiring the use of two machines an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on the 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 a day. The manufacturers can sell a package of screws A at a profifit of Kshs 7 and screws B at a profifit of Kshs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit?