Heres the schedule for two items A and B. Given the construction time below:

Question

Item A:
Machine 1- 2 hours
Machine 2- 3 hours
Packaging- 5 hours

Item B:
Machine 1- 1 hours
Machine 2- 1 hours
Packaging- 1 hours

The labour hours per week are as follows: machine 1, 80 hours; machine 2, 50 hours; packaging, 70 hours. If the profit on each item A and B are $7 and $2 respectively, how many of each item should be made weekly in order to maximize profit? What is the max profit?