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To find the equilibrium price and quantity for products 1 and 2, we need to set the demand equations equal to the supply equations for each product. The equilibrium occurs where the quantity demanded equals the quantity supplied for each product.

### Step 1: Set up the equations

For product 1:
\[
P_1 = 2000 - 3q_1 - 2q_2 \quad \text{(Demand)}
\]
\[
P_1 = 100 + 2q_1 + q_2 \quad \text{(Supply)}
\]

For product 2:
\[
P_2 = 2800 - q_1 - 4q_2 \quad \text{(Demand)}
\]
\[
P_2 = 200 + 3q_1 + 2q_2 \quad \text{(Supply)}
\]

### Step 2: Equate the demand and supply for each product

For product 1:
\[
2000 - 3q_1 - 2q_2 = 100 + 2q_1 + q_2
\]

For product 2:
\[
2800 - q_1 - 4q_2 = 200 + 3q_1 + 2q_2
\]

### Step 3: Solve the system of equations

1. **Equation 1 (for product 1):**
   \[
   2000 - 100 = 2q_1 + 3q_2 + 3q_1 + 2q_2
   \]
   Simplifying,
   \[
   1700 = 5q_1 + 3q_2
   \]

2. **Equation 2 (for product 2)**:
Let's define
px=Demand at exculibrance.
Calculating

Find the equilibrium price and quantity for product 1 and 2 based on the given demand and supply equations.

This tutorial provides a step-by-step solution to find the equilibrium price and quantity for two products using demand and supply equations. It covers setting up and solving systems of equations, equilibrium concepts, and algebraic techniques.

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