https://file.aiquickdraw.com/mathbot/file/1727848880965gr8qpvoz.jpg

To determine the supply function based on the information given in the image, we can model the problem using a linear supply function, which is typically of the form:

\[
Q_s = a + bP
\]

Where:
- \( Q_s \) is the quantity supplied.
- \( P \) is the price.
- \( a \) and \( b \) are constants to be determined.

### Step 1: Extract Information

From the image, we have the following points:
1. When the price \( P = 8,000 \) IDR, the quantity supplied \( Q_s = 1,000 \).
2. When the price \( P = 10,000 \) IDR, the quantity supplied \( Q_s = 1,500 \).

### Step 2: Set up Equations

We can substitute these values into the linear supply function \( Q_s = a + bP \) to form two equations:

For \( P = 8,000 \) and \( Q_s = 1,000 \):
\[
1,000 = a + b(8,000) \quad \text{(Equation 1)}
\]

For \( P = 10,000 \) and \( Q_s = 1,500 \):
\[
1,500 = a + b(10,000) \quad \text{(Equation 2)}
\]

### Step 3: Solve the System of Equations

Now, let's solve these two equations simultaneously.

**From Equation 1**:
\[
a + 8,000b = 1,000 \quad \text{(Rearrange as)} \quad a = 1,000 - 8,000b
\]

Substitute \( a \) into Equation 2:
\[
1,500 = (1,000 - 8,000b) + 10,000b
\]
\[
1,500 = 1,000 + 2,000b
\]
\[
500 = 2,000b
\]
\[
b = \frac{500}{2,000} = 0.25
\]

Now substitute \( b = 0.25 \) back into the expression for \( a \):
\[
a = 1,000 - 8,000(0.25) = 1,000 - 2,000 = -1,000
\]

### Step 4: Final Supply Function

Thus, the supply function is:
\[
Q_s = -1,000 + 0.25P
\]

### Interpretation:
- The supply function \( Q_s = -1,000 + 0.25P \) shows the relationship between the price of sandals and the quantity supplied. As the price increases, the quantity supplied increases by 0.25 units for every 1 unit increase in price.

Do you want more details on this, or do you have any questions?

Here are some related questions you might consider:
1. How would the supply function change if the price was adjusted further?
2. Can this function be used to predict supply for prices outside the given range?
3. What economic factors might cause the supply function to shift?
4. How would this equation look if we assumed a non-linear supply function?
5. What is the significance of a negative intercept in the supply function?

**Tip**: In supply and demand analysis, the slope of the supply curve (the coefficient of \( P \)) indicates how responsive the quantity supplied is to price changes (price elasticity of supply).

Jika harga sandal Rp. 8,000 maka yang akan tejual 1000, ketika harga sandal naik menjadi Rp. 10,000 yang terjual 1500 pasang. Tentukanlah fungsi penawarannya?

Learn how to determine the supply function for sandals based on price changes from Rp. 8,000 to Rp. 10,000. This problem includes a step-by-step solution, utilizing the linear supply function Q_s = a + bP. Ideal for students in Grades 10-12 studying algebra and economics.

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