$($Linear Programming$)$

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finishing department, and $400$ hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:

$\backslash$table$[[$Production Time $($Hours$),],[$Model$,\backslash$table$[[$Cutting and$],[$Sewing$]],$Finishing,Packaging and,$],[$Shipping$,$Profit$/$Glove$,,,],[$Regular model,$\frac{1}{2},\frac{1}{8},1,$$$5$