The city of Cabernet is very famous for its production of wine. The inhabitants of the city have an aggregate demand for wine that can be described as follows:
D(p) = Q_{d} =150-2p
where Q_{d} is the demanded quantity in bottles of wine and p is the price in euros per bottle. The producers' aggregate supply is:
S(p) = Q_{s} =13p-15
where Q_{s} is the supplied quantity in bottles of wine. The city produces only one quality of wine.
a) Find the equilibrium price and quantity.
b) Compute the consumer and producer surplus, as well as the total welfare in the city of Cabernet.
The municipality of Cabernet decides to put a tax of €7.50 on every bottle of wine sold.
c) Compute the new equilibrium price and quantity and calculate the allocative inefficiency.
d) Assume that the municipality equally redistributes tax revenues to the inhabitants. Are they better off compared to the situation before the tax was introduced?