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determine el costo total cuando se producen 3000 unidades

To determine the total cost when 3000 units are produced, we need to use the information given in the graph, particularly the cost function represented by the blue line.

### Key details:
1. The **blue line** represents the cost function \( C(q) \), where \( q \) is the quantity produced.
2. The slope of this line and the y-intercept can help us form a linear equation for the cost function.

### From the graph:
- The y-intercept of the cost function is \( C(0) = 0 \).
- From the graph, when \( q = 2000 \), the cost is around \( C(2000) = 20000 \).
  
Thus, we have two points on the cost function:
- \( (0, 0) \)
- \( (2000, 20000) \)

The slope \( m \) of the cost function is calculated as:
\[
m = \frac{\Delta C}{\Delta q} = \frac{20000 - 0}{2000 - 0} = 10
\]

Thus, the cost function is:
\[
C(q) = 10q
\]

### To find the total cost when 3000 units are produced:
\[
C(3000) = 10 \times 3000 = 30000
\]

Therefore, the total cost when 3000 units are produced is **30,000 monetary units**.

Would you like further details or any other questions? Here are some related questions:

1. How do we derive the cost function from two points?
2. How would the result change if the y-intercept was different?
3. How does the cost function relate to the profit shown by the red line?
4. What is the significance of the slope of the cost function?
5. How can this concept be applied in real-life business scenarios?

**Tip:** Always ensure you correctly identify the axis labels and scales when interpreting graphs to avoid errors.

Determine el costo total cuando se producen 3000 unidades.

Learn how to calculate the total cost for 3000 units produced using a linear cost function based on a graph. This problem involves interpreting the slope and y-intercept of a linear equation, suitable for students in Grades 10-12.

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