2. The cost of operating a jet-powered commercial (passenger- carrying) airplane varies as the three-halves (3/2) power of its velocity; specifically, Co= knv3/2, where n is the trip length in miles, k is a constant of proportionality, and vis velocity in miles per hour. It is known that at 400 miles per hour, the average cost of operation is $300 per mile. The company that owns the aircraft wants to minimize the cost of operation, but that cost must be balanced against the cost of the passengers' time (CC), which has been set at $300,000 per hour. At what velocity should the trip be planned to minimize the total cost, which is the sum of the cost of operating the airplane and the cost of passengers' time?

EBK HEALTH ECONOMICS AND POLICY
7th Edition
ISBN:9781337668279
Author:Henderson
Publisher:Henderson
Chapter4: Economic Evaluation In Health Care
Section: Chapter Questions
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2. The cost of operating a jet-powered commercial (passenger-
carrying) airplane varies as the three-halves (3/2) power of its
velocity; specifically, Co kny3/2, where n is the trip length in
miles, k is a constant of proportionality, and vis velocity in miles
per hour. It is known that at 400 miles per hour, the average cost of
operation is $300 per mile. The company that owns the aircraft
wants to minimize the cost of operation, but that cost must be
balanced against the cost of the passengers' time (CC), which has
been set at $300,000 per hour. At what velocity should the trip be
planned to minimize the total cost, which is the sum of the cost of
operating the airplane and the cost of passengers' time?
Transcribed Image Text:= 2. The cost of operating a jet-powered commercial (passenger- carrying) airplane varies as the three-halves (3/2) power of its velocity; specifically, Co kny3/2, where n is the trip length in miles, k is a constant of proportionality, and vis velocity in miles per hour. It is known that at 400 miles per hour, the average cost of operation is $300 per mile. The company that owns the aircraft wants to minimize the cost of operation, but that cost must be balanced against the cost of the passengers' time (CC), which has been set at $300,000 per hour. At what velocity should the trip be planned to minimize the total cost, which is the sum of the cost of operating the airplane and the cost of passengers' time?
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