a) From the graph above, complete columns 2 and 4 of the table above. Round your answers to whole numbers. b) If the price of both products is $1, what quantity of each good would Marshall purchase if his budget was $8?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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**Marginal Utility Table and Budget Constraint Analysis**

In this exercise, we will explore the concept of marginal utility and budget constraints through a tabulated example. Let's break down each part of the table and perform the necessary computations. Here's the given data and the tasks:

### Table

| (1) Quantity | (2) Product A MU | (3) Product A MU per $ (at $2) | (4) Product B MU |
|--------------|------------------|-------------------------------|------------------|
| 1            |                  |                               |                  |
| 2            |                  |                               |                  |
| 3            |                  |                               |                  |
| 4            |                  |                               |                  |
| 5            |                  |                               |                  |
| 6            |                  |                               |                  |

### Tasks

a) From the graph above, complete columns 2 and 4 of the table. Round your answers to whole numbers.  
b) If the price of both products is $1, what quantity of each good would Marshall purchase if his budget was $8?

- Quantity of A: ____
- Quantity of B: ____

c) Suppose that the price of Product A increases to $2. Complete column 3 of the table above.

d) If Marshall’s budget remained the same, what quantities of each good would he now purchase?

- Quantity of A: ____
- Quantity of B: ____

#### Solutions and Explanation:

1. **Understanding the Marginal Utility Table**

   - **Column (1):** Lists the quantity of each product.
   - **Column (2):** Marginal Utility (MU) of Product A. This column needs to be filled with the given data.
   - **Column (3):** Marginal Utility per dollar of Product A at $2. This is computed by dividing the MU of Product A by 2.
   - **Column (4):** Marginal Utility (MU) of Product B. This needs to be filled with the given data.

2. **Completing Columns 2 and 4**
   Based on the information provided (not shown in the image), let's assume the following marginal utilities for Products A and B for quantities 1 to 6. 
   
   - Product A MU: 10, 8, 6, 4, 3, 2
   - Product B MU: 8, 7, 6
Transcribed Image Text:**Marginal Utility Table and Budget Constraint Analysis** In this exercise, we will explore the concept of marginal utility and budget constraints through a tabulated example. Let's break down each part of the table and perform the necessary computations. Here's the given data and the tasks: ### Table | (1) Quantity | (2) Product A MU | (3) Product A MU per $ (at $2) | (4) Product B MU | |--------------|------------------|-------------------------------|------------------| | 1 | | | | | 2 | | | | | 3 | | | | | 4 | | | | | 5 | | | | | 6 | | | | ### Tasks a) From the graph above, complete columns 2 and 4 of the table. Round your answers to whole numbers. b) If the price of both products is $1, what quantity of each good would Marshall purchase if his budget was $8? - Quantity of A: ____ - Quantity of B: ____ c) Suppose that the price of Product A increases to $2. Complete column 3 of the table above. d) If Marshall’s budget remained the same, what quantities of each good would he now purchase? - Quantity of A: ____ - Quantity of B: ____ #### Solutions and Explanation: 1. **Understanding the Marginal Utility Table** - **Column (1):** Lists the quantity of each product. - **Column (2):** Marginal Utility (MU) of Product A. This column needs to be filled with the given data. - **Column (3):** Marginal Utility per dollar of Product A at $2. This is computed by dividing the MU of Product A by 2. - **Column (4):** Marginal Utility (MU) of Product B. This needs to be filled with the given data. 2. **Completing Columns 2 and 4** Based on the information provided (not shown in the image), let's assume the following marginal utilities for Products A and B for quantities 1 to 6. - Product A MU: 10, 8, 6, 4, 3, 2 - Product B MU: 8, 7, 6
**Marginal Utility Analysis of Products**

The graph given below indicates Marshall's marginal utility for two products, A and B.

![Graph]

**Detailed Graph Explanation:**

- **Title**: The graph represents the marginal utility of two different products, A and B, as consumed by Marshall.
- **Axes**:
  - The vertical axis (Y-axis) represents the Marginal Utility, ranging from 0 to 12.
  - The horizontal axis (X-axis) represents the Quantity per period, ranging from 0 to 10.
- **Data Representation**:
  - Two lines are plotted to represent the marginal utility of Product A and Product B.
  - **Product A**:
    - Depicted by a red line.
    - Starts at a marginal utility of 12 at a quantity of 0 and declines steadily as the quantity increases.
  - **Product B**:
    - Depicted by a blue line.
    - Starts at a marginal utility of 8 at a quantity of 0 and declines more gradually compared to Product A.

**Summary**:
This graph is useful for visualizing the concept of diminishing marginal utility—the principle that as more of a product is consumed, the additional satisfaction (marginal utility) derived from consuming each additional unit decreases. In this case, Product A starts with a higher marginal utility than Product B but decreases more sharply.
Transcribed Image Text:**Marginal Utility Analysis of Products** The graph given below indicates Marshall's marginal utility for two products, A and B. ![Graph] **Detailed Graph Explanation:** - **Title**: The graph represents the marginal utility of two different products, A and B, as consumed by Marshall. - **Axes**: - The vertical axis (Y-axis) represents the Marginal Utility, ranging from 0 to 12. - The horizontal axis (X-axis) represents the Quantity per period, ranging from 0 to 10. - **Data Representation**: - Two lines are plotted to represent the marginal utility of Product A and Product B. - **Product A**: - Depicted by a red line. - Starts at a marginal utility of 12 at a quantity of 0 and declines steadily as the quantity increases. - **Product B**: - Depicted by a blue line. - Starts at a marginal utility of 8 at a quantity of 0 and declines more gradually compared to Product A. **Summary**: This graph is useful for visualizing the concept of diminishing marginal utility—the principle that as more of a product is consumed, the additional satisfaction (marginal utility) derived from consuming each additional unit decreases. In this case, Product A starts with a higher marginal utility than Product B but decreases more sharply.
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