You run a small furniture manufacturing store.  You make tables and chairs.  The profit margin on each table that you sell is $100.  The profit margin for each chair is $50.  In order to make tables and chairs, you use labor and wood.  Every month you have 200 hours of labor and 100 cubic feet of wood.  It takes 20 cubic feet of wood to make one table and 20 hours of labor.  It takes 10 cubic feet of wood and 40 hours of labor to make one chair.

a) Make a table (no not that type of table, the other type) that summarizes the above information.

b) Write down the optimization equation and the constraint equations and label them as such.  Make sure your write down all of the constraint equations.  THINK.

c) Graph, either by hand or using Excel, the constraint equations.  Identify the feasible region.  Make sure to label your graph.

d) Identify and determine the coordinates of ALL of the corner points on your graph.

e) Determine the amount of money you would make if you produced at each corner point.  (Include ALL corner points.) Which corner point would you produce at?  Why?  How much money would you make?  How many chairs and how many tables would you make?