https://file.aiquickdraw.com/mathbot/file/1726369058923j6h735eh.jpg

The problem you provided involves finding the equilibrium point between a demand and supply function and then representing it graphically.

### Given functions:
- **Demand function**: \( P_d = 50 - 5Q \)
- **Supply function**: \( P_s = Q^2 + Q + 10 \)

### Equilibrium Condition:
At equilibrium, the quantity demanded equals the quantity supplied, meaning \( P_d = P_s \). To find the equilibrium, we set the demand function equal to the supply function:

\[
50 - 5Q = Q^2 + Q + 10
\]

Let's solve for \( Q \) (quantity at equilibrium). After that, we can substitute \( Q \) back into one of the original equations to find the price at equilibrium.

I'll proceed with solving this equation.The solutions for the equilibrium quantity are \( Q = -10 \) and \( Q = 4 \). Since the quantity \( Q \) must be non-negative, the valid solution is \( Q = 4 \).

### Step 2: Find the equilibrium price
We now substitute \( Q = 4 \) into either the demand or supply function to find the equilibrium price. Let's use the demand function \( P_d = 50 - 5Q \).

I'll compute the equilibrium price next.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can easily calculate the equilibrium price by substituting \( Q = 4 \) into the demand function \( P_d = 50 - 5Q \):

\[
P_d = 50 - 5(4) = 50 - 20 = 30
\]

Thus, the equilibrium price is \( P = 30 \).

### Equilibrium point:
- **Quantity**: \( Q = 4 \)
- **Price**: \( P = 30 \)

Would you like assistance with the graph or further details? Here are some related questions to expand on this:

1. How do supply and demand curves generally behave in economic models?
2. What happens if either the demand or supply function changes?
3. How can equilibrium be found for more complex supply and demand functions?
4. How do shifts in demand or supply affect market equilibrium?
5. What is the significance of the equilibrium price in economics?

**Tip**: When graphing, ensure you plot both the demand and supply functions and mark the intersection at \( Q = 4 \) and \( P = 30 \) as the equilibrium point.

Diketahui fungsi permintaan P_d = 50 - 5Q dan fungsi penawaran P_s = Q^2 + Q + 10. Tentukan titik keseimbangan pasar yang mungkin terjadi. Gambarkan dengan menggunakan grafik!

Learn how to find the market equilibrium by solving the demand function P_d = 50 - 5Q and supply function P_s = Q^2 + Q + 10. This problem involves algebraic concepts and quadratic equations, suitable for high school economics or college students.

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