Cost of Trans-Atlantic Travel A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an...

Cost of Trans-Atlantic 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

where x is the ground speed (airspeed ±wind).

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

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

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

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