Consider a "game" between Qantas and Virgin Australia that the airlines may participate in. The rules of the game are:

If both Qantas and Virgin Australia keep airfares low, then they will both make a profit of $500m.

If both Qantas and Virgin Australia keep airfares high, then they will both make a profit of $800m.

If one airline keeps airfares low and the other keeps airfares high, then the low airfare airline will make $900m profit and the high airfare airline will make $400m profit.

Using these rules, solve this game for the Nash equilibrium (make sure to include your diagram and the logic you followed to solve the game). Is your outcome the best one for both Qantas and Virgin Australia? Explain your answer