Greetings. In addition to the answers, I need to identify the steps involved to determine the output and the profits answer for each model with this problem:

Two firms compete in a market to sell a homogenous produce with inverse demand function P = 600 - 6Q. Each firm produces at a constant marginal cost of $300.

Use this to compare the output and profits in settings characterized by: Cournot, Stackelberg, Bertrand, and collusive behavior.