ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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### Price Elasticity of Demand: Homework (Ch 07)

#### Description

This homework focuses on calculating the price elasticity of demand for a given set of data points and interpreting the results to understand the elasticity of demand.

#### Graph Explanation

The graph provided shows a downward-sloping linear demand curve. The axes are labeled as follows:
- **Y-Axis**: PRICE (Dollars per pole per year)
- **X-Axis**: QUANTITY (Thousands of poles)

Points L, M, and N are plotted on the demand curve. The graph's title is "Total Revenue."

#### Instructions

Calculate the price elasticity of demand between points L and M, and points N and O using the midpoint method, then fill in the Price Elasticity of Demand column in the following table. For each price range, identify if demand is elastic, inelastic, or unit elastic. (Hint: Find the absolute value of the price elasticity of demand to determine whether demand is elastic, inelastic, or unit elastic for each price range.)

| Price Range between Points | Absolute Value of Price Elasticity of Demand | Elastic, Inelastic, Unit Elastic | Change in Total Revenue |
|----------------------------|----------------------------------------------|---------------------------------|-------------------------|
| L and M                    |                                              |                                 |                         |
| N and O                    |                                              |                                 |                         |

#### Guidelines

For each price range, indicate if total revenue increases, decreases, or does not change in the previous table.

##### Note:
To calculate the midpoint price elasticity of demand, use the following formula:

\[ \text{Price Elasticity of Demand} = \frac{\left( \frac{Q_2 - Q_1}{(Q_2 + Q_1)/2} \right)}{\left( \frac{P_2 - P_1}{(P_2 + P_1)/2} \right)} \]

Where:
- \( P_1 \) and \( P_2 \) are the initial and final prices.
- \( Q_1 \) and \( Q_2 \) are the initial and final quantities demanded.

This calculation will assist in determining if the demand is elastic (absolute value > 1), inelastic (absolute value < 1), or unit elastic (absolute value = 1).

#### Actions

Once calculations are done, you can:
- **Grade It Now**
- **Save & Continue**

Please ensure your answers are accurate, as a
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Transcribed Image Text:### Price Elasticity of Demand: Homework (Ch 07) #### Description This homework focuses on calculating the price elasticity of demand for a given set of data points and interpreting the results to understand the elasticity of demand. #### Graph Explanation The graph provided shows a downward-sloping linear demand curve. The axes are labeled as follows: - **Y-Axis**: PRICE (Dollars per pole per year) - **X-Axis**: QUANTITY (Thousands of poles) Points L, M, and N are plotted on the demand curve. The graph's title is "Total Revenue." #### Instructions Calculate the price elasticity of demand between points L and M, and points N and O using the midpoint method, then fill in the Price Elasticity of Demand column in the following table. For each price range, identify if demand is elastic, inelastic, or unit elastic. (Hint: Find the absolute value of the price elasticity of demand to determine whether demand is elastic, inelastic, or unit elastic for each price range.) | Price Range between Points | Absolute Value of Price Elasticity of Demand | Elastic, Inelastic, Unit Elastic | Change in Total Revenue | |----------------------------|----------------------------------------------|---------------------------------|-------------------------| | L and M | | | | | N and O | | | | #### Guidelines For each price range, indicate if total revenue increases, decreases, or does not change in the previous table. ##### Note: To calculate the midpoint price elasticity of demand, use the following formula: \[ \text{Price Elasticity of Demand} = \frac{\left( \frac{Q_2 - Q_1}{(Q_2 + Q_1)/2} \right)}{\left( \frac{P_2 - P_1}{(P_2 + P_1)/2} \right)} \] Where: - \( P_1 \) and \( P_2 \) are the initial and final prices. - \( Q_1 \) and \( Q_2 \) are the initial and final quantities demanded. This calculation will assist in determining if the demand is elastic (absolute value > 1), inelastic (absolute value < 1), or unit elastic (absolute value = 1). #### Actions Once calculations are done, you can: - **Grade It Now** - **Save & Continue** Please ensure your answers are accurate, as a
### Elasticity and Total Revenue

#### 9. Elasticity and total revenue

The following graph shows the demand curve for trekking poles. Points L, M, N, and O mark price ranges over which you will be asked to calculate the price elasticity of demand for this good.

Use the purple rectangle labeled Total Revenue (diamond symbols) to compute total revenue at various prices along the demand curve. To see the area of the Total Revenue rectangle, select the shaded area with your mouse. You will not be graded on where you place the rectangle.

#### Graph Explanation

A demand curve graph is presented, which illustrates the relationship between the price of trekking poles (in dollars per pole per year) and the quantity demanded (in thousands of poles). The graph features the following:

- **X-Axis (Horizontal Axis):** Labeled as "QUANTITY (Thousands of poles)", it ranges from 0 to 10.
- **Y-Axis (Vertical Axis):** Labeled as "PRICE (Dollars per pole per year)", it ranges from 0 to 10.
- Four marked points on the demand curve: **L, M, N, and O**.

Each of these points represents different price and quantity combinations:
- **Point L:** Near the top left of the demand curve, indicating a high price and low quantity.
- **Point M:** Below Point L, indicating a lower price and higher quantity than Point L.
- **Point N:** Below Point M, indicating a lower price and higher quantity than Point M.
- **Point O:** Near the bottom right of the demand curve, indicating the lowest price and highest quantity.

A purple rectangle labeled **Total Revenue** with diamond symbols represents the area under the curve used to calculate the total revenue at various price points along the demand curve.

---

This exercise will help you understand how changes in price influence the quantity demanded and total revenue, aiding your comprehension of price elasticity of demand.
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Transcribed Image Text:### Elasticity and Total Revenue #### 9. Elasticity and total revenue The following graph shows the demand curve for trekking poles. Points L, M, N, and O mark price ranges over which you will be asked to calculate the price elasticity of demand for this good. Use the purple rectangle labeled Total Revenue (diamond symbols) to compute total revenue at various prices along the demand curve. To see the area of the Total Revenue rectangle, select the shaded area with your mouse. You will not be graded on where you place the rectangle. #### Graph Explanation A demand curve graph is presented, which illustrates the relationship between the price of trekking poles (in dollars per pole per year) and the quantity demanded (in thousands of poles). The graph features the following: - **X-Axis (Horizontal Axis):** Labeled as "QUANTITY (Thousands of poles)", it ranges from 0 to 10. - **Y-Axis (Vertical Axis):** Labeled as "PRICE (Dollars per pole per year)", it ranges from 0 to 10. - Four marked points on the demand curve: **L, M, N, and O**. Each of these points represents different price and quantity combinations: - **Point L:** Near the top left of the demand curve, indicating a high price and low quantity. - **Point M:** Below Point L, indicating a lower price and higher quantity than Point L. - **Point N:** Below Point M, indicating a lower price and higher quantity than Point M. - **Point O:** Near the bottom right of the demand curve, indicating the lowest price and highest quantity. A purple rectangle labeled **Total Revenue** with diamond symbols represents the area under the curve used to calculate the total revenue at various price points along the demand curve. --- This exercise will help you understand how changes in price influence the quantity demanded and total revenue, aiding your comprehension of price elasticity of demand.
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