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In the provided image, you're asked to form a system of equations related to a cost function. Let me break down the details given in the task:

- The task involves a cost function for production, which is related to the number of units produced (denoted as ME).
- The variable costs are given as 680 GE (which is the variable cost per unit).
- The total cost function is connected to the variable and fixed costs.
- The goal is to construct an equation system from the provided details. Based on the given conditions:

1. The costs when 10 units are produced amount to 1,250 GE.
2. The cost function should show the cost per unit when 10 units are produced (which gives a unit cost of 125 GE per unit).
3. The cost function's form involves fixed costs and variable costs per unit.

### Step-by-step:
Let the total cost function be:
\[
K(x) = F + V \cdot x
\]
where:
- \( K(x) \) is the total cost for producing \( x \) units,
- \( F \) is the fixed cost,
- \( V \) is the variable cost per unit, and
- \( x \) is the number of units produced.

From the information provided:
- At \( x = 10 \), \( K(10) = 1,250 \) GE, and the variable cost per unit \( V = 680 \).
- The cost per unit for 10 units is given as 125 GE.

So, we can form the following equations:

1. \( F + 680 \cdot 10 = 1,250 \) (Equation for total cost when producing 10 units).
2. \( K(x) = F + 680 \cdot x \) (General form of the cost function).

### Solving:
For equation (1):
\[
F + 6,800 = 1,250 \quad \Rightarrow \quad F = 1,250 - 6,800 = -5,550
\]

Now we have:
\[
K(x) = -5,550 + 680 \cdot x
\]

If you need further clarification or more steps to work out more parts of the problem, feel free to ask!

Learn how to solve a cost function problem involving the equation K(x) = F + V * x. This example covers key algebraic concepts and demonstrates step-by-step calculations for determining fixed and variable costs. Suitable for students in Grades 9-12.

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