Suppose Norman Bates, the owner-manager of a small local hotel, projects the following demand for his rooms: Price $110 130 Quantity purchased (per night) 10 8 a. Calculate the arc price elasticity between $110 and $130. Please report your answer to two decimal places.
Suppose Norman Bates, the owner-manager of a small local hotel, projects the following demand for his rooms: Price $110 130 Quantity purchased (per night) 10 8 a. Calculate the arc price elasticity between $110 and $130. Please report your answer to two decimal places.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![**Educational Content: Demand and Price Elasticity**
**Scenario:**
Suppose Norman Bates, the owner-manager of a small local hotel, projects the following demand for his rooms:
| Price | Quantity purchased (per night) |
|-------|---------------------------------|
| $110 | 10 |
| $130 | 8 |
**Tasks:**
a. **Calculate the arc price elasticity** between $110 and $130. Please report your answer to two decimal places.
b. Is the price elasticity of demand between $110 and $130 elastic, unit elastic, or inelastic?
c. Will Norman’s total revenue rise if he increases the price from $110 to $130 per night?
d. If the two points on the demand for Norman’s rooms lie on a straight-line demand curve, what then is the **point price elasticity of demand** at a nightly price of $150? Please show your work and report your answer to one decimal place.
---
**Notes:**
- Elasticity measures the responsiveness of demand to changes in price.
- Arc elasticity uses the midpoint method to calculate elasticity over a range of prices.
- Total revenue changes depend on whether demand is elastic or inelastic.
- Point elasticity provides insight into demand at a specific price point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab7a93e1-40d3-4bdc-a63d-a1a4acc86cc1%2F44fb4eb5-444e-4d7d-9944-3d4d94be6dab%2Fmzutfcf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Demand and Price Elasticity**
**Scenario:**
Suppose Norman Bates, the owner-manager of a small local hotel, projects the following demand for his rooms:
| Price | Quantity purchased (per night) |
|-------|---------------------------------|
| $110 | 10 |
| $130 | 8 |
**Tasks:**
a. **Calculate the arc price elasticity** between $110 and $130. Please report your answer to two decimal places.
b. Is the price elasticity of demand between $110 and $130 elastic, unit elastic, or inelastic?
c. Will Norman’s total revenue rise if he increases the price from $110 to $130 per night?
d. If the two points on the demand for Norman’s rooms lie on a straight-line demand curve, what then is the **point price elasticity of demand** at a nightly price of $150? Please show your work and report your answer to one decimal place.
---
**Notes:**
- Elasticity measures the responsiveness of demand to changes in price.
- Arc elasticity uses the midpoint method to calculate elasticity over a range of prices.
- Total revenue changes depend on whether demand is elastic or inelastic.
- Point elasticity provides insight into demand at a specific price point.
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