STAR Co$.$ provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with the paper mill. STAR receives $100-$feet$-$wide paper rolls from the mill and cuts the rolls into smaller rolls of widths $12,15,$ and $30$ feet. The demands for these widths vary from week to week. The following cutting patterns have been established:Trim loss is the leftover paper from a pattern $($e$.$g$.,$ for pattern $4,1(12)+2(15)+2(30)=99$ feet used resulting in $100-99=1$ foot of trim loss$).$ Demands this week are $5,69212-$foot rolls, $1,65015-$foot rolls, and $3,43030-$foot rolls. Develop an all$-$integer model that will determine how many $100-$foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss $($leftover paper from a pattern$).$Optimal Solution:Trim Loss:feet