Suppose the demand for Pepsi is qp = 54 - 2pp + 1p. The demand for Coke is qc = 54 - 2pc + 1pp. Each firm faces a constant marginal cost of zero. Determine the Bertrand equilibrium prices. What happens to the Bertrand equilibrium prices and profits if increased differentiation causes the demand for Pepsi to become qp = 104 - 2pp + 1pc while the demand for Coke remains unchanged?