1. The Optimal Order paper company has received orders for four different groups of publications. The following orders have been placed.

8 rolls of 2 ft. paper at $2.50 per roll

6 rolls of 2.5 ft. paper at $3.10 per roll

5 rolls of 4 ft. paper at $5.25 per roll

4 rolls of 3 ft. paper at $4.40 per roll

Due to heavy demand on the printing process, the paper company only has 13 ft. of paper from which to fill these orders. If partial orders (1 roll,2 rolls,3 rolls,etc.) can be filled, which orders and how many of each should be filled to maximize total profit? Use Dynamic Programming to answer the question and show stages 4 and 3 only.