Chapter 2.2, Problem 37AYU

Cost of Transatlantic Travel A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by

$C\left(x\right)=100+\frac{x}{10}+\frac{36,000}{x}$

where $x$ is the groundspeed (airspeed $\pm$ wind).

(a) What is the cost when the groundspeed is 480 miles per hour? 600 miles per hour?

(b) Find the domain of C.

(c) Use a graphing utility to graph the function $C=C\left(x\right)$.

(d) Create a TABLE with $TblStart=0$ and $\Delta Tbl=50$.

(e) To the nearest 50 miles per hour, what groundspeed minimizes the cost per passenger?