For a particular flight from Dulles to SF, an airline uses wide-body jets W1 with a capacity of 420 passengers. It costs the airline $4,000 plus $95 per passenger to operate each flight. Through experience the airline has discovered that if a ticket price is ST, then they can 420 0.65T) passengers to book the flight. Determine the ticket price, T, that will maximize the airline's profit.

a) The ticket price is between $395 and $405

b) The ticket price is between $365 and $375.

c) The ticket price is between $345 and $355

d) The ticket price is between $405 and $415.