Answers
a) At equilibrium,
Demand equals supply
3Q + 6 = -2Q + 146
Q = 28
P = 90
Equilibrium occurs at point D
Consumer surplus is area of triangle ABD whose area is (1/2) * (28 - 0) * (146 - 90) = 784
Producer surplus is area of triangle BCD whose area is (1/2) * (28 - 0) * (90 - 6) = 1,176
b) With price ceiling at $78,
Consumer surplus is area of triangle AGF + area of rectangle FGHE whose area is (1/2) * (24 - 0) * (146 - 98) + (98 - 78) * (24 - 0) = 1,056
Producer surplus is area of triangle EHC whose area is (!/2) * (24 - 0) * (78 - 6) = 864
Deadweight loss is area of triangle GHD whose area is (1/2) * (28 - 24) * (98 - 78) = 40
c) Due to price ceiling, there is less supply of goods than the desired quantity in the market which creates a shortage of goods in the market. Consumers who are willing to higher quantity than this would be hurt off.