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.

 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.

 

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

 ​(A) If the profit on a trick ski is ​$60 and the profit on a slalom ski is ​$55​, how many of each type of ski should be manufactured each day to realize a maximum​ profit? What is the maximum​ profit?

 First use the manufacturing data to create constraints and an equation for the profit. Let x represent the number of trick skis and let y represent the number of slalom skis produced daily. The equation for the daily profit is shown below.

The feasible region is bounded. By the information​ above, both the maximum value and the minimum value of the objective function exist.

Since the maximum value of P​ exists, it must occur at one​ (or more) of the corner points of the feasible region. Find the coordinates of each corner point of the feasible region.

Thanks