Trim loss is the leftover paper from a pattern (e.g., for pattern 4,2(12)+1(15)+2(30)=99 feet used resulting in 10099=1 foot of trim oss). Orders in hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. Any of the three types of rolls oroduced in excess of the orders in hand will be sold on the open market at the selling price. No inventory is held. (a) Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five patterns in order to minimize trim loss. If your answer is zero enter " 0 " and if the constant is " 1 " it must be entered in the box. Let xj= number of 100 -foot-wide rolls using cutting pattern j,j=1,2,3,4,5. Optimal Solution: (b) Solve the model formulated in part a. What is the minimal amount of trim loss? Total Trim Loss: feet How many of each pattern should be used and how many of each type of roll will be sold on the open market? If your answer is zero enter "0