D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point.
D(x) = - 5/9x + 20, S(x) = 1/3x + 4
(a) Find the equilibrium point.
(Type an ordered pair, using integers or decimals.)
(b) Find the consumer surplus at the equilibrium point.
(Type an integer or a decimal.)
(c) Find the producer surplus at the equilibrium point.
(Type an integer or a decimal.)