Grand Lake Furniture Company makes two types of picnic tables, rectangular and hexagon. The hexagon table takes 4 hours to make and 2 hours to finish. the rectangular table takes 3 hours to build and 1 hour to finish. The company can devote 240 hours to building the tables and 100 hours to finish the tables. Each hexagon table sold yeilds a profit of $7 and each rectangular table is sold for a profit of $5. Determine the number of each type table to make in order to maximize profit. Illustrate the solution using linear programming techniques including a graph of the problem.