Question

A carpenter is making tables(y) and chairs(x). Each table takes 5 hours to make and is sold for $100 and each chair takes 3 hours to make and is sold for $30. His goal each week is to make more than $500 from selling tables and chairs and work no more than 40 hours. The region representing the solution set for the problem is shaded in the diagram. Which combination of tables and chairs will maximize his profit?

Answer 1

The solution is region 8 tables and 0 chairs. By making and selling 8 tables, the carpenter will work for 40 hours and make $800. This is his maximum profit.