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Let's address each part of the problem based on the given supply function:

The supply function is \( P = 5Q + 3000 \), where:
- \( P \) is the price,
- \( Q \) is the quantity.

### a) What is the lowest price that the producer can sell the product for?
The lowest price occurs when \( Q = 0 \) (no quantity is produced or sold).
\[
P = 5(0) + 3000 = 3000
\]
So, the lowest price is **IDR 3000**.

### b) What is the quantity demanded if the price of the product is \( P = 8000 \)?
To find \( Q \), substitute \( P = 8000 \) into the supply function:
\[
8000 = 5Q + 3000
\]
\[
8000 - 3000 = 5Q
\]
\[
5000 = 5Q
\]
\[
Q = \frac{5000}{5} = 1000
\]
The quantity demanded is **1000 units**.

### c) If the quantity demanded changes by 1 unit, what is the price change?
From the supply function \( P = 5Q + 3000 \), the coefficient of \( Q \) is 5, meaning that for each 1-unit change in \( Q \), the price \( P \) changes by **IDR 5**.

### d) If the price increases by IDR 1000, what is the increase in the number of products demanded?
If the price increases by IDR 1000, we can calculate the change in \( Q \) as follows:
\[
\Delta P = 5 \Delta Q
\]
\[
1000 = 5 \Delta Q
\]
\[
\Delta Q = \frac{1000}{5} = 200
\]
The quantity demanded increases by **200 units**.

### e) Draw the curve!
The supply curve is a linear equation \( P = 5Q + 3000 \). It has a slope of 5 and a y-intercept at 3000. To sketch it:
- The curve starts at \( (0, 3000) \),
- For every increase of 1 unit in \( Q \), the price increases by 5.

Would you like me to provide a graph of the supply curve?

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If you have any questions or need further details, let me know! Here are 5 related questions to deepen your understanding:

1. How does the slope of the supply curve influence the producer’s pricing strategy?
2. What happens to the price if the supply function's slope changes from 5 to a different value?
3. Can the supply function ever result in a negative price? Why or why not?
4. How would the supply function change if the base production cost (3000) were reduced to 2500?
5. How would you interpret the supply function in terms of marginal costs?

**Tip:** In supply functions, the slope represents how sensitive the price is to changes in quantity.

If the supply function of a product is P = 5Q + 3000, then: a) What is the lowest price that the producer can sell the product for? b) What is the quantity demanded if the price of the product is P = 8000? c) If the quantity demanded changes by 1 unit, what is the price change? d) If the price increases by IDR 1000, what is the increase in the number of products demanded? e) Draw the curve!

Solve a linear supply function P = 5Q + 3000. Determine the lowest price the producer can sell at, the quantity demanded when P = 8000, the price change with 1 unit increase in quantity, and the product demand increase when the price rises by IDR 1000.

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