Chapter 4.2, Problem 46E

Manufacturing A company manufactures two different sizes of boat lifts. Each size requires some time in the welding and assembly department and some time in the parts and packaging department. The smaller lift requires $\frac{3}{4}$ hour in welding and assembly and if hours in parts and packaging. The larger lift requires $1\frac{2}{3}$ hours in welding and assembly and 1 hour in parts and packaging. The factory has 156 hours/day available in welding and assembly and 174 hours/day available in parts and packaging. Furthermore, daily demand for the lifts is at most 90 large and at most 100 small, and profits are $200 for each large lift and $120 for each small lift.