Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has $910$ hours of production time available in its cutting and sewing department, $200$ 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 are given in the following table.

Model Production Time

$($hours$)$

Cutting and Sewing Finishing Packaging and

Shipping Profit$/$Glove

Regular model $1$

$1$

$2$

$1$

$8$

$$8$

Catcher's model

$3$

$2$

$1$

$3$

$1$

$4$

$$9$