7. A model of price discrimination Kevin owns a plot of land in the desert that isn't worth much. One day, a giant meteorite falls on his property, making a large crater. The event attracts scientists and tourists, and Kevin decides to sell nontransferable admission tickets to the meteor crater to both types of visitors: scientists (Market A) and tourists (Market B). The following graphs show daily demand (D) curves and marginal revenue (MR) curves for the two markets. Kevin's marginal cost of providing admission tickets is zero. (? Market A Market B 20 20 18 18 16 16 14 14 12 12 10 10 2 MR, B MR 1 2 3 4 5 6 7 8 10 1 2 3 4 5 6 7 8 10 QUANTITY (Admission tickets) QUANTITY (Admission tickets) PRICE (Dollars per ticket) PRICE (Dollars per ticket)

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### 7. A Model of Price Discrimination

Kevin owns a plot of land in the desert that isn't worth much. One day, a giant meteorite falls on his property, creating a large crater. This event attracts scientists and tourists, prompting Kevin to sell nontransferable admission tickets to the meteor crater for both types of visitors: scientists (Market A) and tourists (Market B). The following graphs show daily demand (D) curves and marginal revenue (MR) curves for the two markets. Kevin’s marginal cost of providing admission tickets is zero.

#### Graphs Explanation:

##### Market A
- **Axes**: The x-axis represents the quantity of admission tickets, ranging from 0 to 10. The y-axis represents the price per ticket in dollars, ranging from 0 to 20.
- **Demand Curve (DA)**: A downward sloping line from the intercept at $20 on the y-axis to a quantity of 10 on the x-axis.
- **Marginal Revenue Curve (MRA)**: A steeper downward sloping line than the demand curve, starting at the same price level of $20 but dropping more quickly.

##### Market B
- **Axes**: Similar to Market A, with the x-axis for quantity of tickets (0 to 10) and the y-axis for price per ticket (0 to 20).
- **Demand Curve (DB)**: Similar to Market A, a downward sloping line starting at $20, moving to a quantity of 10.
- **Marginal Revenue Curve (MRB)**: Steeper than the demand curve, starting at $20 but with a more rapid decline.

Below these graphs, a scenario is proposed:

Suppose that at first, Kevin charges the same price of $8 per admission in both markets so that the total number of admissions demanded is _______ tickets.
Transcribed Image Text:### 7. A Model of Price Discrimination Kevin owns a plot of land in the desert that isn't worth much. One day, a giant meteorite falls on his property, creating a large crater. This event attracts scientists and tourists, prompting Kevin to sell nontransferable admission tickets to the meteor crater for both types of visitors: scientists (Market A) and tourists (Market B). The following graphs show daily demand (D) curves and marginal revenue (MR) curves for the two markets. Kevin’s marginal cost of providing admission tickets is zero. #### Graphs Explanation: ##### Market A - **Axes**: The x-axis represents the quantity of admission tickets, ranging from 0 to 10. The y-axis represents the price per ticket in dollars, ranging from 0 to 20. - **Demand Curve (DA)**: A downward sloping line from the intercept at $20 on the y-axis to a quantity of 10 on the x-axis. - **Marginal Revenue Curve (MRA)**: A steeper downward sloping line than the demand curve, starting at the same price level of $20 but dropping more quickly. ##### Market B - **Axes**: Similar to Market A, with the x-axis for quantity of tickets (0 to 10) and the y-axis for price per ticket (0 to 20). - **Demand Curve (DB)**: Similar to Market A, a downward sloping line starting at $20, moving to a quantity of 10. - **Marginal Revenue Curve (MRB)**: Steeper than the demand curve, starting at $20 but with a more rapid decline. Below these graphs, a scenario is proposed: Suppose that at first, Kevin charges the same price of $8 per admission in both markets so that the total number of admissions demanded is _______ tickets.
### Price Discrimination and Revenue Optimization

#### Diagrams Explained:
The image contains two graphs labeled as graphs for Market A and Market B, respectively. 

- **Graph (Market A):**
  - Horizontal axis: Quantity (Admission tickets) from 0 to 10.
  - Vertical axis: Price ($) from 0 to 8.
  - A demand curve (D<sub>A</sub>) is shown, starting at $8 for 0 tickets and sloping down to $0 at 10 tickets.
  - A marginal revenue curve (MR<sub>A</sub>) intercepts the horizontal axis at around 5 tickets.

- **Graph (Market B):**
  - Similar axes to Market A.
  - A demand curve (D<sub>B</sub>) starts at $8 for 0 tickets, sloping downwards to $0 at 10 tickets.
  - A marginal revenue curve (MR<sub>B</sub>) intercepts the horizontal axis at around 7 tickets.

#### Instructions:

1. **Pricing Policy Questions:**
   - Kevin initially charges $8 per admission in both markets. You need to determine the total number of tickets demanded.
   
   - For maximizing revenue through different pricing in each market, find the optimal prices and total ticket quantity.

2. **Revenue Calculation:**
   - Complete the table by calculating total revenue for both nondiscriminatory and discriminatory pricing strategies.

3. **Price Elasticity Insight:**
   - Identify in which market Kevin charges a lower price based on price elasticity of demand.

#### Table for Completion:

| Pricing Policy      | Total Revenue (Dollars) |
|---------------------|-------------------------|
| Nondiscriminatory   |                         |
| Discriminatory      |                         |

#### Conclusion:
Understanding the differential pricing strategy and its effects on demand and revenue is essential for optimizing market performance. Consider the elasticity differences when setting prices to ensure maximum profitability.
Transcribed Image Text:### Price Discrimination and Revenue Optimization #### Diagrams Explained: The image contains two graphs labeled as graphs for Market A and Market B, respectively. - **Graph (Market A):** - Horizontal axis: Quantity (Admission tickets) from 0 to 10. - Vertical axis: Price ($) from 0 to 8. - A demand curve (D<sub>A</sub>) is shown, starting at $8 for 0 tickets and sloping down to $0 at 10 tickets. - A marginal revenue curve (MR<sub>A</sub>) intercepts the horizontal axis at around 5 tickets. - **Graph (Market B):** - Similar axes to Market A. - A demand curve (D<sub>B</sub>) starts at $8 for 0 tickets, sloping downwards to $0 at 10 tickets. - A marginal revenue curve (MR<sub>B</sub>) intercepts the horizontal axis at around 7 tickets. #### Instructions: 1. **Pricing Policy Questions:** - Kevin initially charges $8 per admission in both markets. You need to determine the total number of tickets demanded. - For maximizing revenue through different pricing in each market, find the optimal prices and total ticket quantity. 2. **Revenue Calculation:** - Complete the table by calculating total revenue for both nondiscriminatory and discriminatory pricing strategies. 3. **Price Elasticity Insight:** - Identify in which market Kevin charges a lower price based on price elasticity of demand. #### Table for Completion: | Pricing Policy | Total Revenue (Dollars) | |---------------------|-------------------------| | Nondiscriminatory | | | Discriminatory | | #### Conclusion: Understanding the differential pricing strategy and its effects on demand and revenue is essential for optimizing market performance. Consider the elasticity differences when setting prices to ensure maximum profitability.
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