Break$-$even sales and sales mix for a service company

Zero Turbulence Airline provides air transportation services between Los Angeles, California, and Kona, Hawaii. A single Los Angeles to Kona round$-$trip flight has the following operating statistics:

Fuel

$$12,521$

Flight crew salaries

$9,590$

Airplane depreciation

$4,529$

Variable cost per passenger$-$business class

$65$

Variable cost per passenger$-$economy class

$50$

Round$-$trip ticket price$-$business class

$595$

Round$-$trip ticket price$-$economy class

$320$

It is assumed that the fuel, crew salaries, and airplane depreciation are fixed, regardless of the number of seats sold for the round$-$trip flight.

a$.$ Compute the break$-$even number of seats sold on a single round$-$trip flight for the overall company product, M$.$ Assume that the overall product mix is $10\%$ business class and $90\%$ economy class tickets.

Total number of seats at break$-$even seats

b$.$ How many business class and economy class seats would be sold at the break$-$even point?

Business class seats at break$-$even seats

Economy class seats at break$-$even seats