An airplane crosses the Atlantic Ocean​ (3000 miles) with an airspeed of

Question

An airplane crosses the Atlantic Ocean​ (3000 miles) with an airspeed of

600

miles per hour. The cost C​ (in dollars) per passenger is given by

​C(x)=75+x20+36,000x​,

where x is the ground speed​ (airspeed

±

​wind).

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Part 1

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

​$enter your response here

​ (Round to the nearest cent as​ needed.)

Answer 1

C(x)=150+x/8+36,000/x

=150+x/8+36000/x

=150⋅8x+x^2+288000/8x

=150⋅8x+x^2+288000/8x

=1200x+x^2+288000/8x

=x+150x+36000/x.