demands for these widths vary from week to week. The following cutting patterns have been established:

Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price. No inventory is held. Let $\backslash ($ x$\_\{$j$\}=\backslash )$ number of $100-$foot$-$wide rolls using cutting pattern $\backslash ($ j$,$ j$=1,2,3,4,5\backslash ).$

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 $"0".$