Par Inc. makes $$10$ for every standard $($S$)$ and $$9$ for every deluxe bag $($D$).$ The firm's objective is to maximize the total profit contribution and subject to four time constraints.

$\backslash$table$[[$Department$,$Production Time $($hours$),],[,$Standard Bag,Deluxe Bag$],[$Cutting and Dyeing,$\frac{7}{10},1],[$Sewing$,\frac{1}{2},\frac{5}{6}$