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

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
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Chapter1: Making Economics Decisions
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**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.
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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