An airline services four cities: A$,$ B$,$ C$,$ and H $($the Hub$).$ They run $3$ flights $($AH$,$ HB$,$ and HC$)$ but they also sell tickets for full trips $($AHB using flights AH and HB; and AHC$-$using flights AH and HC$).$

The aircraft they use for the three legs have the following capacities:

$=125$

HB $=100$

HC$=110$

The following table shows the demands for Business and Economy class seats for each of the trips $($to include the ones that transfer at the hub$)$ at the set prices.

What allocation of seats should the airline make to each of the itineraries in order to maximize revenue? What is that revenue amount?