Given the demand function D(p) = 325 – 4p², Find the Elasticity of Demand at a price of $2 At this price, we would say the demand is: Elastic O Inelastic O Unitary Based on this, to increase revenue we should: O Raise Prices O Keep Prices Unchanged O Lower Prices

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Demand Function and Elasticity

**Given the demand function:**
\[ D(p) = 325 - 4p^2 \]

**Problem:**
Find the Elasticity of Demand at a price of $2.

**Elasticity Calculation Box:**
[Input Box]

**At this price, we would say the demand is:**
- ○ Elastic
- ○ Inelastic
- ○ Unitary

**Based on this, to increase revenue we should:**
- ○ Raise Prices
- ○ Keep Prices Unchanged
- ○ Lower Prices

### Explanation

**Demand Elasticity:**
Demand elasticity measures how the quantity demanded responds to changes in price. The categories include:
- **Elastic:** Demand is sensitive to price changes.
- **Inelastic:** Demand is not sensitive to price changes.
- **Unitary:** Proportional response in demand to price changes.

**Revenue Implications:**
Understanding elasticity helps determine pricing strategies to maximize revenue:
- **Elastic Demand:** Lowering prices might increase revenue.
- **Inelastic Demand:** Raising prices might increase revenue.
- **Unitary Demand:** Changing prices might not affect revenue significantly.
Transcribed Image Text:### Demand Function and Elasticity **Given the demand function:** \[ D(p) = 325 - 4p^2 \] **Problem:** Find the Elasticity of Demand at a price of $2. **Elasticity Calculation Box:** [Input Box] **At this price, we would say the demand is:** - ○ Elastic - ○ Inelastic - ○ Unitary **Based on this, to increase revenue we should:** - ○ Raise Prices - ○ Keep Prices Unchanged - ○ Lower Prices ### Explanation **Demand Elasticity:** Demand elasticity measures how the quantity demanded responds to changes in price. The categories include: - **Elastic:** Demand is sensitive to price changes. - **Inelastic:** Demand is not sensitive to price changes. - **Unitary:** Proportional response in demand to price changes. **Revenue Implications:** Understanding elasticity helps determine pricing strategies to maximize revenue: - **Elastic Demand:** Lowering prices might increase revenue. - **Inelastic Demand:** Raising prices might increase revenue. - **Unitary Demand:** Changing prices might not affect revenue significantly.
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