Multiple Choice
How many calls a customer service agent can handle per hour is an example of which type of constraint in the quantitative analysis of consumer and producer surplus at equilibrium?
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5. Consumer and Producer Surplus; Price Ceilings and Floors
Quantitative Analysis of Consumer and Producer Surplus at Equilibrium
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The supply and demand curves for a product are as follows. What is consumer surplus in this market?
QD = 15 - 2P
QS = -15 + P
A
6.25
B
12.5
C
20
D
22.5
E
25
Verified step by step guidance1
Identify the equilibrium price and quantity by setting the quantity demanded (QD) equal to the quantity supplied (QS). Use the equations QD = 15 - 2P and QS = -15 + P.
Solve the equation 15 - 2P = -15 + P to find the equilibrium price (P).
Substitute the equilibrium price back into either the demand or supply equation to find the equilibrium quantity (Q).
Calculate the consumer surplus using the formula: Consumer Surplus = 0.5 * (Base * Height), where Base is the difference between the maximum price consumers are willing to pay and the equilibrium price, and Height is the equilibrium quantity.
Determine the maximum price consumers are willing to pay by setting QD = 0 and solving for P, then use this value to calculate the consumer surplus.
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