Problem
Treetops Hammocks produces lightweight nylon hammocks designed for campers, scouts, and hikers. The hammocks come in two styles: double and single. The double hammocks sell for $225 each. They incur a direct labor cost of $101.25 and a production cost of $38.75, and they are packed with hanging apparatus and storage bags, which cost $20. The single hammocks sell for $175 each. Their direct labor costs are $70 and production costs are $30, and they too are packed with the same hanging apparatus and storage bags, which cost $20. Each double hammock uses 3.2 hours of production time; each single hammock uses 2.4 hours of production time. Treetops plans for no more than 960 labor hours per production cycle. Treetops wants to maximize its profit while making no more than 200 single hammocks and no more than 400 total hammocks per production cycle.
(a) How many of each hammock should Treetops make?
(b) If the restriction on single hammocks were removed, what would be the optimal production plan?