Nike Sporting Equipment makes two types of baseball gloves: a regular model and a catcher's model. The firm has $900$ hours of production time available in its cutting and sewing department, $300$ hours available in its finishing department, and $100$ hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove type are given in the following table:

$\backslash$table$[[,$Production Time $($hours$)],[$Model$,\backslash$table$[[$Cutting$],[$and Sewing$]],$Finishing,$\backslash$table$[[$Packaging$],[$and Shipping$]],$Profit$/$Glove$],[$Regular model,$1,y_2,\frac{1}{?},$$$5$