Chapter 2.1, Problem 105AE

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 ground speed (airspeed $\pm$ wind).

a. What is the cost per passenger for quiescent (no wind) conditions?

b. What is the cost per passenger with a head wind of 50 miles per hour?

c. What is the cost per passenger with a tail wind of 100 miles per hour?

d. What is the cost per passenger with a head wind of 100 miles per hour?