ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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**Educational Website Content: Price Elasticity and Demand Analysis**

**Initial Values:**
- \( P_M = \$20000 \)
- \( P_G = \$1.00 \)
- \( I = \$15000 \)
- \( A = \$10000 \)

**Function:**
\[ Q_T = 200 - 0.01P_T + 0.005P_M - 10P_G + 0.01I + 0.003A \]

---

### 1. Arc Price Elasticity of Demand
**(a)** Use the formula to calculate the arc price elasticity of demand between \( P_T = \$20000 \) decreasing to \( P_T = \$10000 \).
- **Formula:** 
  \[
  E_p = \frac{\Delta Q}{\Delta P} \cdot \frac{P_1 + P_2}{Q_1 + Q_2}
  \]

**(b)** Judging from the computation in (1a), do you expect the revenue from the price decrease to $10000 to increase, remain the same, or decrease relative to the revenue at the price of $20000? Explain your choice.

---

### 2. Point Price Elasticity of Demand (Toyota)
**(a)** Calculate the point price elasticity of demand for Toyotas at \( P_T = \$20000 \) (which should make \( Q_T = 270 \)). 
- **Formula:** 
  \[
  E_p = \frac{\partial Q_T}{\partial P_T} \cdot \frac{P_T}{Q_T}
  \]

**(b)** Does this elasticity indicate that Toyota demand is relatively responsive to changes in the Toyota price? Explain why or why not.

---

### 3. Cross-Price Elasticity with Gasoline
**(a)** Calculate the point gasoline cross-price elasticity between \( P_G \) and Toyota demand (\( Q_T \)). Assume the price of gasoline is \( P_G = \$1.00 \). Use \( P_T = 20000 \) (which should make \( Q_T = 270 \)).
- **Formula:** 
  \[
  E_{TG} = \frac{\partial Q_T}{\partial P_G} \cdot \frac{P_G}{Q_T}
  \]

**(b)** Does this elasticity indicate that the demand for Toyotas is relatively responsive to
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Transcribed Image Text:**Educational Website Content: Price Elasticity and Demand Analysis** **Initial Values:** - \( P_M = \$20000 \) - \( P_G = \$1.00 \) - \( I = \$15000 \) - \( A = \$10000 \) **Function:** \[ Q_T = 200 - 0.01P_T + 0.005P_M - 10P_G + 0.01I + 0.003A \] --- ### 1. Arc Price Elasticity of Demand **(a)** Use the formula to calculate the arc price elasticity of demand between \( P_T = \$20000 \) decreasing to \( P_T = \$10000 \). - **Formula:** \[ E_p = \frac{\Delta Q}{\Delta P} \cdot \frac{P_1 + P_2}{Q_1 + Q_2} \] **(b)** Judging from the computation in (1a), do you expect the revenue from the price decrease to $10000 to increase, remain the same, or decrease relative to the revenue at the price of $20000? Explain your choice. --- ### 2. Point Price Elasticity of Demand (Toyota) **(a)** Calculate the point price elasticity of demand for Toyotas at \( P_T = \$20000 \) (which should make \( Q_T = 270 \)). - **Formula:** \[ E_p = \frac{\partial Q_T}{\partial P_T} \cdot \frac{P_T}{Q_T} \] **(b)** Does this elasticity indicate that Toyota demand is relatively responsive to changes in the Toyota price? Explain why or why not. --- ### 3. Cross-Price Elasticity with Gasoline **(a)** Calculate the point gasoline cross-price elasticity between \( P_G \) and Toyota demand (\( Q_T \)). Assume the price of gasoline is \( P_G = \$1.00 \). Use \( P_T = 20000 \) (which should make \( Q_T = 270 \)). - **Formula:** \[ E_{TG} = \frac{\partial Q_T}{\partial P_G} \cdot \frac{P_G}{Q_T} \] **(b)** Does this elasticity indicate that the demand for Toyotas is relatively responsive to
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