A price ceiling is given along with demand and supply functions, where D(x) is the price, in dollars per unit, that consumers will pay for x units, and S(x) is the price, in dollars per unit, at which producers will sell x units. Find (a) the equilibrium point, (b) the point (xc, pc), (c) the new consumer surplus, (d) the new producer surplus, and (e) the deadweight loss.
D(x) = 146 - x, S(x) = 21 + 0.25x, pc = $36
a) Find the equilibrium point.