A manufacturer produces two models of bicycles. The times (in hours) required for assembling, painting and packaging each model are shown in the table. The total times available for assembling and painting are 1600 hours and 1200 hours, respectively. The profits per unit are $50 for model A and $48 for model B. How many of each type should be produced to maximize profit? What is the maximum profit? [hours required for model A] [hours for model B]
assembling - 4 assembling - 2
painting - 2 painting - 3