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To solve this problem, let's extract the given information and create the cost function in a linear form. 

### Given:
- The cost function is linear: \( C(x) = ax + b \)
- When producing 10 units, the cost is Rp 12,500:
  \[
  C(10) = 12500
  \]
- When producing 100 units, the cost is Rp 35,000:
  \[
  C(100) = 35000
  \]

### Solution:
1. **Form the Equations**:
   Using the given points:
   - For \( x = 10 \):
     \[
     a(10) + b = 12500
     \]
     \[
     10a + b = 12500 \tag{1}
     \]
   - For \( x = 100 \):
     \[
     a(100) + b = 35000
     \]
     \[
     100a + b = 35000 \tag{2}
     \]

2. **Solve for \( a \) and \( b \)**:
   Subtract equation (1) from (2):
   \[
   (100a + b) - (10a + b) = 35000 - 12500
   \]
   \[
   90a = 22500
   \]
   \[
   a = 250
   \]

   Now, substitute \( a = 250 \) back into equation (1):
   \[
   10(250) + b = 12500
   \]
   \[
   2500 + b = 12500
   \]
   \[
   b = 10000
   \]

3. **Write the Cost Function**:
   \[
   C(x) = 250x + 10000
   \]

### Final Answer:
The cost function is \( C(x) = 250x + 10000 \).

Would you like a more detailed explanation, or do you have any other questions?

Here are some related questions:
1. How do you interpret the slope \( a \) in a cost function?
2. What is the fixed cost \( b \) in this scenario?
3. How can you calculate the cost for producing 50 units using this function?
4. How does a change in the fixed cost affect the overall cost function?
5. What is the difference between linear and non-linear cost functions?

**Tip:** In a linear function, the slope represents the variable cost per unit, while the y-intercept represents the fixed costs.

Fungsi biaya suatu perusahaan berbentuk linier. Bila diproduksi 10 unit memerlukan biaya Rp 12.500. Tetapi bila memproduksi 100 unit, diperlukan biaya Rp 35.000. Tentukanlah fungsi biayanya.

Learn how to calculate the linear cost function for a company. When 10 units are produced, the cost is Rp 12.500, and for 100 units, the cost is Rp 35.000. This problem covers key algebraic concepts like the slope-intercept form and solving systems of linear equations.

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