Question

Suppose a tax of $3 per unit is imposed on a good. The supply curve is a typical upward-sloping straight line, and the demand curve is a typical downward-sloping straight line. The tax decreases consumer surplus by $3,900 and decreases producer surplus by $3,000. The tax generates tax revenue of $6,000. The tax decreased the equilibrium quantity of the good from A. 2,400 to 2,000. B. 2,600 to 2,000. C. 3,000 to 2,400. D. 2,000 to 1,500.

Answer 1

Answer:

B. 2,600 to 2,000.

Explanation:

tax revenue = units x tax rate

units = tax revenue / tax rate = 6,000/3 = 2,000

2,000 will be the quantity after taxes.

6000 goverment revenue - 3900 consumer surplus - 3000 producer surplus

900 deathweight loss

(tax x ↓unit)/2 = deathweight loss

(3 x ↓unit)/2 = 900

(3 x ↓unit) = 900 *2

↓unit = 1800/3 = 600

It decrease to 2000 from 2600