https://file.aiquickdraw.com/mathbot/file/1727793453804tyld27e2.jpg

The question provided in the image can be interpreted as a supply function problem based on price and quantity. Here's the breakdown of the problem:

- When the price of sandals is Rp. 8,000, the quantity sold is 1,000 pairs.
- When the price increases to Rp. 10,000, the quantity sold becomes 1,500 pairs.

The goal is to determine the supply function (fungsi penawaran) in the form of a linear equation \( Q_s = a + bP \), where:
- \( Q_s \) is the quantity supplied,
- \( P \) is the price,
- \( a \) and \( b \) are constants to be determined.

### Step 1: Establish two points
From the problem, we have two points:
- Point 1: (8,000, 1,000)
- Point 2: (10,000, 1,500)

### Step 2: Find the slope (b)
The slope \( b \) can be calculated using the formula:
\[
b = \frac{Q_{s2} - Q_{s1}}{P_2 - P_1}
\]
Substitute the values:
\[
b = \frac{1500 - 1000}{10,000 - 8,000} = \frac{500}{2,000} = 0.25
\]

### Step 3: Determine the intercept (a)
To find \( a \), use the equation \( Q_s = a + bP \) with one of the points. Using Point 1 (8,000, 1,000):
\[
1,000 = a + 0.25 \times 8,000
\]
\[
1,000 = a + 2,000
\]
\[
a = 1,000 - 2,000 = -1,000
\]

### Step 4: Write the supply function
Thus, the supply function is:
\[
Q_s = -1,000 + 0.25P
\]

This function describes the relationship between the price \( P \) and the quantity supplied \( Q_s \).

---

Would you like more details or have any questions?

### Related Questions:
1. How do changes in price affect the supply function?
2. What happens to the quantity supplied if the price rises to Rp. 12,000?
3. How can we determine a non-linear supply function from more complex data?
4. What is the difference between a supply and demand function?
5. How does the slope of the supply function relate to the responsiveness of supply?

### Tip:
Always check if a supply function is linear, as the relationship between price and quantity may vary at different levels.

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

Learn how to determine the supply function when the price of sandals changes from Rp. 8,000 to Rp. 10,000, causing the quantity sold to increase from 1,000 to 1,500 pairs. This problem covers key algebraic concepts, including linear equations and the supply function formula. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation