2. Machines A and B are each available 168 hours a week to manufacture chewing gum and bubble gum. To make a case of chewing gum, machine A must run 2 hours and machine B must run 8 hours. To make a case of bubble gum, machine A must run 4 hours and machine B must run 2 hours. Probat from chewing gum is is $200/case; profit from bubble gum is is $160/case How many cases of each should be manufactured weekly to maximize profit? Find the maximum weekly profit.​