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.

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