3. A homogeneous products duopoly faces a market demand function given by P = 500 − 10Q .

Question

Both firms have a constant marginal cost of MC = 200.
1
a. What would the equilibrium price in this market be if it were perfectly competitive?
b. What are the firm’s outputs in a Nash equilibrium of Cournot’s model?
c. What is the market price in a Nash equilibrium of Cournot’s model?
d. What would the equilibrium price in this market be if the two firms colluded to set the
monopoly price?

was trying to do this question and im comepltly lost