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Multiple Choice
The supply and demand curves for a product are as follows. What is deadweight loss if a price ceiling of $2 is set? QD = 600 – 100P QS = -150 + 150P
A
150
B
187.5
C
212.5
D
300
E
375
Verified step by step guidance
1
Identify the equilibrium price and quantity by setting the quantity demanded (QD) equal to the quantity supplied (QS). Solve the equation 600 - 100P = -150 + 150P to find the equilibrium price (P*).
Substitute the equilibrium price (P*) back into either the demand or supply equation to find the equilibrium quantity (Q*).
Determine the quantity demanded (QD) and quantity supplied (QS) at the price ceiling of $2 by substituting P = 2 into the demand and supply equations.
Calculate the shortage created by the price ceiling by finding the difference between the quantity demanded and the quantity supplied at the price ceiling.
Calculate the deadweight loss by finding the area of the triangle formed by the price ceiling, the equilibrium price, and the quantities at the price ceiling. Use the formula for the area of a triangle: (1/2) * base * height, where the base is the difference in quantities and the height is the difference in prices.