1. (12 points) Two firms (1 and 2) produce homogeneous goods and compete in the same indus- try, each with constant marginal cost c1 = 2, c2 = 3. The inverse aggregate demand function is P(Y) = 100 - Y, where Y = y1 + 92 is the total output. (a) Firm 1 is more efficient and it is the quantity leader. Solve for the Quantity-Leader equilibrium price, outputs, and profits for each firm. (b) Does firm 1 really want to use its technology advantage to be the quantity leader, compared with being a Cournot competitor or being a quantity follower? Illustrate your idea in a clearly labeled graph (no need to calculate the numbers)