Two firms compete in a market to sell a homogenous produce with inverse demand function P = 400 - 2Q. Each firm produces at a constant marginal cost...

Two firms compete in a market to sell a homogenous produce with inverse demand function P = 400 - 2Q. Each firm produces at a constant marginal cost of $50. Use this to compare the output and profits in settings characterized by Cournot, Stackelberg, Bertrand, and collusive behavior.