Question

1. Consider the following figure. If a price ceiling of $180 is imposed, how much is the quantity demanded? Also, calculate the amount of shortage.

P S $180 $120 X $60 D 2,800,000 3,250,000 2,600,000 3,000,000 3,400,000 Q

2. Consider the following figure. Tax is levied on sellers. Find an expression for the tax burden on buyers. Also, find the areas that represent DWL.

P s A Pc B Pe G с Ps E Q Q Q

3. Refer to the following table. The price of erasers increases from $1.50 to $2.00 per eraser. Using the midpoint method, what is the cross-price elasticity of demand between pencils and erasers?

Price of Quantity Demanded Quantity Demanded Erasers of Erasers of Pencils $.50 10 12 $1.00 8 11 $1.50 7 10 $2.00 6 9 $2.50 5

4. Consider the following figure. If the government imposes a price ceiling on wheat at $2, calculate the amount of shortage

Price on 5 3 X 2 D 3,000,000 4,750,000 / 6,000,000 Quantity 4,250,000 5,000,000

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Answer #1

1) price ceiling is above the equilibrium price, market will clear.

Quantity = 3000000 (there will be no shortage as Qs = Qd)

2) tax burden on buyers = Pc - Pe (per unit)

DWL = F + E (total surplus lost as a result of tax)

3)

Cross price elasticity = (Q2 - Q1)/(P2 - P1) x (P2 + P1)/(Q2 + Q1)

CPE = -1/0.5 x 3.5/19 = - 0.37

4) price ceiling = $ 2

Shortage = Qd - Qs = 5000000 - 4250000 = 750000

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