A Carpenter Makes Tables and Chairs

Essay

A carpenter makes tables and chairs.Each table can be sold for a profit of $50 and each chair for a profit of $30.The carpenter works a maximum of 40 hours per week and spends 5 hours to make a table and 2 hours to make a chair.Customer demand requires that he makes at least twice as many chairs as tables.The carpenter stores the finished products in his garage,and there is room for a maximum of 6 furniture pieces each week.Determine the carpenter's optimal production mix.