Suppose there are 8 identical consumers, each with income m = 3 and utility function u(x1, 12) = (x2+x)2. There is a single firm (producing good 1) with production function f(e) = 6l/2, where l is units of labor. (a) Find the demand function for a representative consumer. What is the total market demand for good 1? (b) Let we denote the per-unit price of labor. Find the firm's supply function. (c) Consider a short-run horizon where labor input is fixed at l = 4. Assume p2 = 1, we = 1, and let p denote the price of good 1. Compute a market equilibrium for good 1.