3. Consider a Bertrand duopoly setting in which two firms simultaneously choose prices p1, p2 E R+, at which to sell homogeneous goods.1 Firms' xed costs are zero and marginal costs differ across firms. Firm 1 has a linear cost function ci(q1) = 2q1 (a cost of 2 per unit). Firm 2 has a linear cost function C2(92) = 492 (a cost of 4 per unit). Suppose consumers demand ten units of these goods in total, regardless of the price. Consumers will buy the good from whichever firm has a lower price and will buy half their goods from each firm if prices are equal