Multiple Choice
Which of the following is the final step in calculating consumer and producer surplus at market equilibrium?
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5. Consumer and Producer Surplus; Price Ceilings and Floors
Quantitative Analysis of Consumer and Producer Surplus at Equilibrium
Multiple Choice
The supply and demand curves for a product are as follows. What is producer surplus in this market?
A
6.25
B
12.5
C
15
D
20
E
25
Verified step by step guidance1
Identify the demand and supply equations: Demand (Q_D) is given by Q_D = 15 - 2P and Supply (Q_S) is given by Q_S = -15 + P.
Find the equilibrium price and quantity by setting Q_D equal to Q_S. Solve the equation 15 - 2P = -15 + P 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*).
Calculate the producer surplus, which is the area above the supply curve and below the equilibrium price. This can be found using the formula for the area of a triangle: Producer Surplus = 0.5 * (Base * Height), where the base is the equilibrium quantity (Q*) and the height is the difference between the equilibrium price (P*) and the price at which the supply curve intersects the price axis (P_intercept).
Determine the price at which the supply curve intersects the price axis by setting Q_S = 0 and solving for P. Use this price as P_intercept in the producer surplus calculation.
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