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Two airline companies with identical cost functions are competing in the market for air travel by investing in airline capacity (airline seats). Let q 1

Two airline companies with identical cost functions are competing in the market for air travel by investing in airline capacity (airline seats). Let q 1 represent Airline 1's capacity choice and let q 2 represent Airline 2's capacity choice.

Airline 1's reaction function is given below:

q 1 = 30 - 1 2 q 2 .

Airline 2's reaction function is the same with the labels reversed, i.e. q 2 = 30 - 1 2 q 1

The market demand for Airlines is Q = 100 - p , where Q = q 1 + q 2 is the total quantity of airline seat tickets sold and p is the price of an airline ticket.

What is the Cournot Nash Equilibrium capacity chosen by Firm 1, q 1 * ?

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