Suppose there is a downward sloping demand curve that has a y-intercept of 70 and an upward sloping supply curve that has a y-intercept of 20. If the competitive equilibrium Price is 32 and Quantity is 52 what would be the size of the overall consumer surplus for this market? (Please answer to 2 decimal places as needed) Your Answer: 30 Answer
Suppose there is a downward sloping demand curve that has a y-intercept of 70 and an upward sloping supply curve that has a y-intercept of 20. If the competitive equilibrium Price is 32 and Quantity is 52 what would be the size of the overall consumer surplus for this market? (Please answer to 2 decimal places as needed) Your Answer: 30 Answer
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:**Understanding Consumer Surplus in Market Equilibrium**
In this exercise, we explore the concept of consumer surplus using supply and demand curves.
**Problem Statement:**
Suppose there is:
- A downward sloping demand curve with a y-intercept of 70.
- An upward sloping supply curve with a y-intercept of 20.
Given:
- The competitive equilibrium price is $32.
- The equilibrium quantity is 52.
**Question:**
What is the size of the overall consumer surplus in this market? (Round your answer to two decimal places.)
**Explanation:**
To calculate consumer surplus, we first need to determine the area of the triangle formed by the demand curve above the equilibrium price line.
1. **Identify the maximum willingness to pay:** This is represented by the y-intercept of the demand curve, which is 70.
2. **Equilibrium price:** This is given as 32.
3. **Equilibrium quantity:** This is given as 52.
**Formula for Consumer Surplus:**
Consumer Surplus = 0.5 × (Base of the triangle) × (Height of the triangle)
**Calculations:**
- **Base of the triangle** = Equilibrium Quantity = 52
- **Height of the triangle** = Maximum willingness to pay (y-intercept of demand) - Equilibrium Price = 70 - 32 = 38
Consumer Surplus = 0.5 × 52 × 38 = 988
**Solution:**
Thus, the overall consumer surplus for the market is 988.00.
Note: The user's answer box input "30" is incorrect for the given data.
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