The graph of a cost function is shown below. The cost  to produce  units has two parts: the fixed cost , and the variable (per unit) cost . Determine the values of  and  from the graph.
 The F is 400

To determine the values of the fixed cost $ F $ and the variable cost per unit $ V $ from the graph, we can follow these steps:

1. **Fixed Cost ($ F $)**:
   - The fixed cost $ F $ is the cost of producing zero units, i.e., the y-intercept of the graph.
   - You have mentioned that $ F = 400 $, which means that even when no units are produced, the cost is \$400.

2. **Variable Cost per Unit ($ V $)**:
   - The variable cost is the additional cost incurred for each unit produced. This can be determined from the slope of the line in the graph.
   - To calculate the slope (which is $ V $, the variable cost per unit), we need two points from the graph.
   
   Assuming the graph is linear, you can take the following approach:
   - Pick two points from the line: $ (x_1, y_1) $ and $ (x_2, y_2) $, where $ x $ represents the number of units produced, and $ y $ represents the total cost.
   - The slope $ V $ (the variable cost) is calculated as:
     \[
     V = \frac{y_2 - y_1}{x_2 - x_1}
     \]
   - This will give the variable cost per unit.

If you can provide two points from the graph, I can help you calculate $ V $.

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Do you want any more details or have questions? Here are some questions that can expand your understanding:

1. How is the fixed cost determined from a cost function graph?
2. What does the slope of the cost function graph represent?
3. How would the graph look if the variable cost were higher?
4. How does the graph of the cost function change if fixed costs increase?
5. Can you explain why the graph is linear or non-linear based on your problem?

**Tip:** The y-intercept always represents the fixed cost in cost function graphs, regardless of the units produced.

The graph of a cost function is shown below. The cost to produce units has two parts: the fixed cost, and the variable (per unit) cost. Determine the values of F and V from the graph. The F is 400.

Learn how to determine fixed costs and variable costs per unit from a cost function graph. This example uses the slope-intercept form to calculate the variable cost (V) and given fixed cost (F = 400). Suitable for students in Grades 9-12.

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