I took this into account in my calculation and assumed roughly 4.8 more seats were filled on average per flight, not a full 6.
I took this into account in my calculation and assumed roughly 4.8 more seats were filled on average per flight, not a full 6.
There are a lot of factors and it would be silly to think that the airline didn't take more than we can come up with into account in their decision.
$100 for first 50% of capacity
$120 for next 20%
$170 for next 20%
$300 for next 5%
$600 for final 5%
What is the revenue impact of expanding capacity? The solution is not obvious, but the author's approximation is more accuare than you suggest. You obviously can't solve this without a stochastic ticket demand model, but 4.8 is much closer to the right answer than 0.
Depending on the demand structure of routes, those 6 seats may have wildly different values and could potentially be worth more than the average ticket price, on average for the airline.
Since this is counter-intuitive, I'll explain why briefly:
Airlines attempt to price discriminate by selling low priced tickets to leisure travelers and high priced tickets to business customers.
The problem airlines face is that business travelers book at the last minute.
Since business travelers book at the last minute, they need to estimate the number of business travelers who will be flying.
If the average leisure passenger ticket sells for $100, and the average business ticket sells for $500, just having 1 extra seat can add 5 leisure tickets worth of revenue assuming they sell the same number of leisure tickets.
Realistically, their model will readjust the optimal pricing changes overtime to capture the most value. Because the additional seats give the model more flexibility, I would not be surprised if the additional seats added more than an average of 80% of 6 seats multiplied by the average ticket price.
Not that I'm saying you are wrong, just that it's not the only explanation of the known facts.
The extra seats are only utilized when the plane is beyond the capacity of the old configuration. You'd need to know how often this event occurs in order to produce a meaningful number.
Until you can separate cause from effect, you have no way of knowing if the change in loading was due to reconfiguration of the seats, or other policy changes that occurred around the same time.