Suppose market inverse demand function is given P=100-Q, where Q=q1+ 42. Suppose there is no fixed cost and firm 1 has marginal cost 5. This information is known by both firms. Suppose firm 2 has marginal cost either equals to 4 or 6. Firm 2 knows their marginal cost but firm 1 does not know firm 2's marginal cost. They only know that the probability is 7 for both cases.

Find the Bayesian Nash equilibrium of the game.