Consider an industry in which n firms produce a homogeneous product. Demand for the product is given by p = a − Q, where a is a positive constant and Q is the industry output. Each producer is identical, having a constant marginal cost c. Assume a > c. (a) If this industry is perfectly competitive, what is the equilibrium price and quantity? (b) Suppose n = 1 (so, it is a monopoly market). Find the equilibrium price and quantity. (c) Suppose these n producers are engaged in Cournot competition. Find the symmetric equilibrium. (An equilibrium is symmetric if all the firms are producing the same amount.) What happens to the equilibrium price as n approaches infinity? (d) Suppose one firm is a von Stackelberg leader and all the rest are followers and engaged in Cournot competition. Find the equilibrium price and quantity. What happens to the equilibrium price as n approaches infinity?