A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table.

$\backslash$table$[[$Department$,$Labor$-$Hours per Ski,$\backslash$table$[[$Maximum Labor$-$Hours$],[$Available per Day$]]],[$Trick Ski,Slalom Ski$],[$Finishing$,12,8,36]]$

Answer parts $(A),(B),$ and $(C)$ below.

$($A$)$ If the profit on a trick ski is $$50$ and the profit on a slalom ski is $$60,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit?

The maximum profit is $$.$ The maximum occurs when trick skis and slalom skis are produced.