a) Suppose we have two firms in the Cournot market. Market demand is given by = 40 (q₁ + q₂), where q₁ and q₂ denote the firms' respective outputs. Both firms have the same marginal cost of $10. Now, suppose each firm can choose to produce 8 or 10 units of output. Create the profit payoff matrix for each level of output. What is the Nash equilibrium outcome? What is the dominant strategy for each firm? Why the strategy where each firm produces 8 units of output is not the equilibrium outcome?