A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) for each passenger is given by the following function:
C(x) = 100 + (x/10) + (36,000/x), where x is the ground speed (airspeed, plus, minus wind).
(a) What is the cost per passenger with a head wind of 50 miles per hour?
(b) What is the cost per passenger with a tail wind of 100 miles per hour?