Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has $700$ hours of production time available in its cutting and sewing department, $300$ hours available in its finishing department, and $200$ hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:

Production Time $($Hours$)$

Model Cutting and

Sewing

Finishing Packaging and

Shipping

Profit$/$Glove

Regular model $13/21/6$ $$4$

Catcher's model $3/21/23/4$ $$8$

Assuming that the company is interested in maximizing the total profit contribution, answer the following: