https://file.aiquickdraw.com/mathbot/file/1730916844102m0370jir.jpg

gunakanlah rumus p–p1= 𝑝2−𝑝1 / q2 - q1 =(Q–Q1)

Let's analyze the problem step-by-step based on the information provided in the table and the given questions.

### 1. Determining Demand and Supply Functions
To find the functions for demand (Qd) and supply (Qs), we can use the two given points in the table and apply the formula for a linear function, \( P = aQ + b \).

The points given are:
- For demand: \((Qd_1, P_1) = (200, 2000)\) and \((Qd_2, P_2) = (250, 1500)\)
- For supply: \((Qs_1, P_1) = (220, 2000)\) and \((Qs_2, P_2) = (180, 1500)\)

Using the formula:
\[
\frac{P - P_1}{Q - Q_1} = \frac{P_2 - P_1}{Q_2 - Q_1}
\]
we can calculate the slopes for both demand and supply functions.

#### Demand Function (Qd):
1. Calculate the slope:
   \[
   m_d = \frac{1500 - 2000}{250 - 200} = \frac{-500}{50} = -10
   \]
   
2. Substitute into the point-slope formula \( P - P_1 = m(Q - Q_1) \):
   \[
   P - 2000 = -10(Q - 200)
   \]
   
3. Expand and simplify to get \( P \) as a function of \( Q \):
   \[
   P = -10Q + 4000
   \]

So, the demand function is:
\[
P = -10Q + 4000
\]

#### Supply Function (Qs):
1. Calculate the slope:
   \[
   m_s = \frac{1500 - 2000}{180 - 220} = \frac{-500}{-40} = 12.5
   \]

2. Substitute into the point-slope formula \( P - P_1 = m(Q - Q_1) \):
   \[
   P - 2000 = 12.5(Q - 220)
   \]
   
3. Expand and simplify:
   \[
   P = 12.5Q - 750
   \]

So, the supply function is:
\[
P = 12.5Q - 750
\]

### Finding the Equilibrium Point
To find the equilibrium, set the demand and supply functions equal to each other:
\[
-10Q + 4000 = 12.5Q - 750
\]

Solving for \( Q \):
1. Move terms involving \( Q \) to one side:
   \[
   4000 + 750 = 12.5Q + 10Q
   \]
  

Perhatikan tabel di bawah ini:
Harga (P) | Permintaan Konsumen (Qd) | Penawaran Produsen (Qs)
2000      | 200                     | 220
1500      | 250                     | 180

Berdasarkan tabel di atas, tentukan:

1. Fungsi permintaan dan fungsi penawaran produk dan tentukan titik keseimbangan pasar serta gambarkan grafik keseimbangan pasar tersebut!

2. Fungsi permintaan dan penawaran jika pemerintah menetapkan pajak sebesar Rp10 per unit dan berapa pajak yang diterima pemerintah?

Learn how to find demand and supply functions, calculate market equilibrium, and analyze the impact of a per-unit tax in a supply and demand table. This detailed solution covers linear functions, market equilibrium, and tax effects on price and quantity for students in Grades 11-12.

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