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.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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**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.
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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