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The cost in dollars of operating a jet-powered commercial airplane Co is given by the following...

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Advance Math

The cost in dollars of operating a jet-powered commercialairplane Co is given by the following equation
Co = k*n*v^(3/2)
where
n is the trip length in miles,
v is the velocity in miles per hour, and
k is a constant of proportionality.
It is known that at 590 miles per hour the cost of operation is$300 per mile. The cost of passengers' time in dollars equals$226,000 times the number of hours of travel. The airline companywants to minimize the total cost of a trip which is equal to thecost of operating plus the cost of passengers' time.
At what velocity should the trip be planned to minimize the totalcost?
HINT: If you are finding this difficult to solve, arbitrarilychoose a number of miles for the trip length, but as you solve it,you should be able to see that the optimal velocity does not dependon the value of n?

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