"The cost in dollars of operating a jet-powered commercial airplane Co is given by the following equation
Co = 0.0305*n*v^(3/2)
where
n is the trip length in miles,
v is the velocity in miles per hour, and
The cost of passengers' time in dollars equals $272,000 times the number of hours of travel. The airline company wants to minimize the total cost of a trip which is equal to the cost of operating plus the cost of passengers' time.
At what velocity should the trip be planned to minimize the total cost?