Originally Posted by
physioprof
Super interesting to think about this. If you could increase utilization by 10%, then you could fly 10% fewer planes of that size? Does the math work linearly like that?
Not quite, but kind of — if you flew 10% more hours per plane, you would only get to reduce the number of aircraft by approximately 9%.
Using a simple calculus, (net route hours) = (number of aircraft) × (hours per aircraft).
Since the two are multiplied together, if you increase one by 1.1, you decrease the other by 1/1.1 = 0.909 to maintain a constant net.
All that said, for small changes, everything is linear.