Question $8$

$8$ points

department. Each product must be processed by each department and the per$-$unit requirements for each product, labor hours available, and per$-$unit profit are as shown below.

$\backslash$table$[[$Department$,$Labor hours required in each department per unit,$\backslash$table$[[$Labor hours$],[$available$]]],[$Product $1,$Product $2],[$A$,1,0\mathrm{.}3,100],[$B$,0\mathrm{.}3,0\mathrm{.}12,36],[C,0\mathrm{.}15,0\mathrm{.}56,50],[$Profit per unit,$$33,$$$24,]]$

Develop the linear programming model to maximize the profit.