Demand Curve: P=300-Qd Supply Curve: P=30+2Qs What is the effect of a price floor at P=110? No Effect Shortage=150 Surplus=150 Cannot be determined.
Demand Curve: P=300-Qd Supply Curve: P=30+2Qs What is the effect of a price floor at P=110? No Effect Shortage=150 Surplus=150 Cannot be determined.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![**Demand and Supply Analysis**
**Demand Curve**: \( P = 300 - Q_d \)
**Supply Curve**: \( P = 30 + 2Q_s \)
**Question**: What is the effect of a price floor at \( P = 110 \)?
- ○ **No Effect**
- ○ **Shortage = 150**
- ○ **Surplus = 150**
- ○ **Cannot be determined.**
---
**Explanation**:
The given demand curve equation \( P = 300 - Q_d \) indicates the relationship between price (P) and quantity demanded (\( Q_d \)). As price decreases, quantity demanded increases.
The supply curve equation \( P = 30 + 2Q_s \) indicates that as price increases, quantity supplied (\( Q_s \)) also increases.
A **price floor** is a minimum price set by the government, below which prices are not allowed to fall. This exercise asks for the impact of setting a price floor at \( P = 110 \).
**Using the Equations**:
1. **Demand at Price Floor**:
\[
110 = 300 - Q_d \implies Q_d = 190
\]
2. **Supply at Price Floor**:
\[
110 = 30 + 2Q_s \implies Q_s = 40
\]
3. **Effect**: At \( P = 110 \), \( Q_d = 190 \) and \( Q_s = 40 \), indicating a surplus since quantity supplied exceeds quantity demanded.
Therefore, the correct option is:
- **Surplus = 150** (since \( 190 - 40 = 150 \)).
The price floor results in a surplus of 150 units because suppliers are willing to produce more than consumers are willing to buy at the set price floor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44ba84ef-fbb4-4f4d-b035-37a11112949f%2Fd8523635-b8b6-4d97-a2d2-8d0fd243c905%2Fr21as1m_processed.png&w=3840&q=75)
Transcribed Image Text:**Demand and Supply Analysis**
**Demand Curve**: \( P = 300 - Q_d \)
**Supply Curve**: \( P = 30 + 2Q_s \)
**Question**: What is the effect of a price floor at \( P = 110 \)?
- ○ **No Effect**
- ○ **Shortage = 150**
- ○ **Surplus = 150**
- ○ **Cannot be determined.**
---
**Explanation**:
The given demand curve equation \( P = 300 - Q_d \) indicates the relationship between price (P) and quantity demanded (\( Q_d \)). As price decreases, quantity demanded increases.
The supply curve equation \( P = 30 + 2Q_s \) indicates that as price increases, quantity supplied (\( Q_s \)) also increases.
A **price floor** is a minimum price set by the government, below which prices are not allowed to fall. This exercise asks for the impact of setting a price floor at \( P = 110 \).
**Using the Equations**:
1. **Demand at Price Floor**:
\[
110 = 300 - Q_d \implies Q_d = 190
\]
2. **Supply at Price Floor**:
\[
110 = 30 + 2Q_s \implies Q_s = 40
\]
3. **Effect**: At \( P = 110 \), \( Q_d = 190 \) and \( Q_s = 40 \), indicating a surplus since quantity supplied exceeds quantity demanded.
Therefore, the correct option is:
- **Surplus = 150** (since \( 190 - 40 = 150 \)).
The price floor results in a surplus of 150 units because suppliers are willing to produce more than consumers are willing to buy at the set price floor.
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