Question

The Dominican Republic is considering placing a room tax on Eco Hotels. The preliminary analysis requires them to calculate consumer and producer surplus before the tax. Below are the demand and supply equations for eco hotel rooms in the Dominican Republic.
Demand equation: Qd = 2500 - 5P
Supply equation: Qs = 1OP - 500
Calculate consumer surplus. Number
Calculate producer surplus.

Answer 1

Answer:

The consumer surplus is 225,000

The producer surplus is 112,500

Explanation:

According to the given data we have the following:

Demand equation: Qd = 2500 - 5P

Supply equation: Qs = 1OP - 500

Therefore, the equilibrium is at demand equal to the supply

2500-5P=10P-500

15P=3000

P=200

Q=10P-500=10*200-500=1500

The inverse demand function is

P=500-0.2Q

Therefore, CS=0.5*(Pmax -Pe)*Qe

=0.5*(500-200)*1500

=225,000

The consumer surplus is 225,000

Regarding PS, maximum price or y-intercept of the demand curve

Pe and Qe are equilibrium price and quantity  the inverse supply curve

P=50+0.1Q

PS=0.5*(Pe-Pl)Qe

Pl=y intercept of supply curve

PS=0.5*(200-50)*1500

=112,500

The producer surplus is 112,500