50 45 40 35 30 25 20 15 10 A 50 100 150 200 250 300 350 400 QUANTITY (Refrigerators per year) ng the information on the slope of the lines tangent to the curve at points B and D, plot the slope of the total revenue curve on the graph below. TOTAL REVENUE (Thousands of dollars per year)

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### Graph Explanation:

The graph displays the relationship between total revenue and quantity of refrigerators sold per year. 

- **X-Axis (Horizontal):** Represents the quantity of refrigerators sold per year, ranging from 0 to 400 units.
- **Y-Axis (Vertical):** Represents the total revenue in thousands of dollars per year, ranging from 0 to 50 thousand dollars.

### Key Data Points:

- **Point A:** (0, 0)
- **Point B:** Approximately (100, 35)
- **Point C:** (200, 40)
- **Point D:** Approximately (300, 35)
- **Point E:** (400, 0)

### Curve:

- The graph features a green curve that peaks at point C, indicating the maximum revenue at 200 refrigerators.
- The total revenue increases from point A to point C and then decreases from point C to point E, forming a parabola.

### Tangent Lines:

- Black tangent lines are drawn at points B and D.
- These lines represent the slopes of the curve at those specific points, aiding in understanding the rate of revenue change with respect to quantity.

### Instruction:

Using the slope information at points B and D, plot the slope of the total revenue curve. Since the result is a straight line, determining the line requires only these two tangent points.

This analysis aids in visualizing how changes in quantity affect total revenue and helps in calculating optimal selling points for maximizing revenue.
Transcribed Image Text:### Graph Explanation: The graph displays the relationship between total revenue and quantity of refrigerators sold per year. - **X-Axis (Horizontal):** Represents the quantity of refrigerators sold per year, ranging from 0 to 400 units. - **Y-Axis (Vertical):** Represents the total revenue in thousands of dollars per year, ranging from 0 to 50 thousand dollars. ### Key Data Points: - **Point A:** (0, 0) - **Point B:** Approximately (100, 35) - **Point C:** (200, 40) - **Point D:** Approximately (300, 35) - **Point E:** (400, 0) ### Curve: - The graph features a green curve that peaks at point C, indicating the maximum revenue at 200 refrigerators. - The total revenue increases from point A to point C and then decreases from point C to point E, forming a parabola. ### Tangent Lines: - Black tangent lines are drawn at points B and D. - These lines represent the slopes of the curve at those specific points, aiding in understanding the rate of revenue change with respect to quantity. ### Instruction: Using the slope information at points B and D, plot the slope of the total revenue curve. Since the result is a straight line, determining the line requires only these two tangent points. This analysis aids in visualizing how changes in quantity affect total revenue and helps in calculating optimal selling points for maximizing revenue.
**Graph Analysis: Slope of Total Revenue**

### Instructions:
Using the information on the slope of the lines tangent to the curve at points B and D, plot the slope of the total revenue curve on the graph below. (As it turns out, it’s a straight line, so the two points you plot will determine a line.)

### Graph Details:
- **Title:** Revenue vs. Quantity
- **Axes:**
  - **X-Axis:** Quantity (Refrigerators per year), ranging from 0 to 400
  - **Y-Axis:** Revenue (Dollars per refrigerator), ranging from -250 to 250

### Elements on Graph:
- **Horizontal Line:** Indicates the slope of the Total Revenue (TR).
- **Slope Indicator:** To the right of the graph is a legend labeled "Slope of TR" with a blue line representing the slope. 

The graph provides a visual representation of how the revenue per refrigerator changes as the quantity of refrigerators sold per year varies.
Transcribed Image Text:**Graph Analysis: Slope of Total Revenue** ### Instructions: Using the information on the slope of the lines tangent to the curve at points B and D, plot the slope of the total revenue curve on the graph below. (As it turns out, it’s a straight line, so the two points you plot will determine a line.) ### Graph Details: - **Title:** Revenue vs. Quantity - **Axes:** - **X-Axis:** Quantity (Refrigerators per year), ranging from 0 to 400 - **Y-Axis:** Revenue (Dollars per refrigerator), ranging from -250 to 250 ### Elements on Graph: - **Horizontal Line:** Indicates the slope of the Total Revenue (TR). - **Slope Indicator:** To the right of the graph is a legend labeled "Slope of TR" with a blue line representing the slope. The graph provides a visual representation of how the revenue per refrigerator changes as the quantity of refrigerators sold per year varies.
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