Chapter 5.2, Problem 53E

Water skis. Refer to Problem 51. The company makes a profit of $\text{\$}50$ on each trick ski and a profit of $\text{\$}60$ on each slalom ski.

(A) If the company makes $10$ trick skis and $10$ slalom skis per day, the daily profit will be $\text{\$}1,100$. Are there other production schedules that will result in a daily profit of $\$1,100$ ? How are these schedules related to the graph of the line $50x+60y=1,100$ ?

(B) Find a production schedule that will produce daily profit greater than $\text{\$}1,100$ and repeat part (A) for this schedule.

(C) Discuss methods for using lines like those in parts (A) and (B) to find the largest possible daily profit.