Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a fielder's

model and a catcher's mitt. 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 are given in the following table:

Develop a LINGO model using SETS and DATA to answer the following questions:

What is the value of the optimal solution? $($round to whole number, no $$-$sign or comma$)$ $

How many fielder's gloves were produced? $($round to whole number$)$

Which department, if any, had slack capacity?

What is the value of $20$ extra hours of packaging time? $