On the following graph, use the blue points (circle symbol) to graph the fisherman's production function. Quantity of Fish (Pounds) 30 27 24 21 18 S 6 3 0 0 1 2 3 Hours Spent Fishing The production function becomes 4 1 5 Production Function ? as the number of hours spent fishing increases.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
Section: Chapter Questions
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The image shows a graph for plotting a fisherman’s production function. The graph is titled "Production Function" and is intended for educational purposes.

**Graph Details:**
- **X-axis:** Represents the "Hours Spent Fishing" and ranges from 0 to 5.
- **Y-axis:** Represents the "Quantity of Fish (Pounds)" and ranges from 0 to 30.
- **Data Points:** Users are instructed to use blue points (circle symbols) to plot the graph.

**Instructions:**
- Users should plot the relationship between the hours spent fishing and the quantity of fish caught.
- The task involves observing how the production function changes as more hours are spent fishing.

**Note:**
- There is a placeholder at the bottom of the graph area that states: "The production function becomes [blank] as the number of hours spent fishing increases." This implies users need to determine the nature of the function's change, e.g., increasing or decreasing returns.

This graph is a helpful tool for understanding how effort and time correlate with output in a practical context like fishing.
Transcribed Image Text:The image shows a graph for plotting a fisherman’s production function. The graph is titled "Production Function" and is intended for educational purposes. **Graph Details:** - **X-axis:** Represents the "Hours Spent Fishing" and ranges from 0 to 5. - **Y-axis:** Represents the "Quantity of Fish (Pounds)" and ranges from 0 to 30. - **Data Points:** Users are instructed to use blue points (circle symbols) to plot the graph. **Instructions:** - Users should plot the relationship between the hours spent fishing and the quantity of fish caught. - The task involves observing how the production function changes as more hours are spent fishing. **Note:** - There is a placeholder at the bottom of the graph area that states: "The production function becomes [blank] as the number of hours spent fishing increases." This implies users need to determine the nature of the function's change, e.g., increasing or decreasing returns. This graph is a helpful tool for understanding how effort and time correlate with output in a practical context like fishing.
**Fishing Productivity Analysis**

The table below illustrates the amount of fish caught over time, measured in hours. The data is essential for calculating the marginal product of each additional hour spent fishing.

**Table: Quantity of Fish**

| Hours | Quantity of Fish (Pounds) |
|-------|---------------------------|
|   0   |             0             |
|   1   |            10             |
|   2   |            19             |
|   3   |            25             |
|   4   |            27             |
|   5   |            28             |

**Task:**

Complete the following table by calculating the marginal product for each hour. The marginal product is defined as the increase in quantity of fish caught by spending one more hour fishing.

**Table: Marginal Product of Fishing**

| Hours | Quantity of Fish (Pounds) | Marginal Product (Pounds) |
|-------|---------------------------|---------------------------|
|   0   |             0             |                           |
|   1   |            10             |                           |
|   2   |            19             |                           |
|   3   |            25             |                           |
|   4   |            27             |                           |
|   5   |            28             |                           |

For each hour, subtract the quantity of fish from the previous hour to determine the marginal product. 

This exercise helps understand the concept of diminishing returns, showing how each additional hour contributes progressively less to the total catch.
Transcribed Image Text:**Fishing Productivity Analysis** The table below illustrates the amount of fish caught over time, measured in hours. The data is essential for calculating the marginal product of each additional hour spent fishing. **Table: Quantity of Fish** | Hours | Quantity of Fish (Pounds) | |-------|---------------------------| | 0 | 0 | | 1 | 10 | | 2 | 19 | | 3 | 25 | | 4 | 27 | | 5 | 28 | **Task:** Complete the following table by calculating the marginal product for each hour. The marginal product is defined as the increase in quantity of fish caught by spending one more hour fishing. **Table: Marginal Product of Fishing** | Hours | Quantity of Fish (Pounds) | Marginal Product (Pounds) | |-------|---------------------------|---------------------------| | 0 | 0 | | | 1 | 10 | | | 2 | 19 | | | 3 | 25 | | | 4 | 27 | | | 5 | 28 | | For each hour, subtract the quantity of fish from the previous hour to determine the marginal product. This exercise helps understand the concept of diminishing returns, showing how each additional hour contributes progressively less to the total catch.
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