Equilibrium Price Quantity
1. Problem statement: Explain the effect on equilibrium price (P) and equilibrium quantity demanded (QD) due to various changes using curves.
2. If consumer income increases: For a normal good, the demand curve shifts to the right (increases), leading to a higher equilibrium price and higher equilibrium quantity.
3. If the rent that the firm pays decreases: Production costs decrease, shifting the supply curve to the right (increasing supply). This usually decreases equilibrium price and increases equilibrium quantity.
4. If the expected price of the good decreases: Consumers expect lower future prices, so current demand decreases, shifting demand curve leftward, lowering equilibrium price and quantity.
5. If the price of a substitute good increases: Demand for the good increases (shift right in demand), raising both equilibrium price and quantity.
6. Problem statement: Given demand curve $QD = 800 - 2P$ and supply curve $QS = 200 + P$, find equilibrium price, quantity, evaluate surplus/shortage, and illustrate.
7. To find equilibrium, set $QD = QS$:
$$800 - 2P = 200 + P$$
8. Solve for $P$:
$$800 - 200 = 2P + P$$
$$600 = 3P$$
$$P = \frac{600}{3} = 200$$
9. Find equilibrium quantity by substituting $P=200$ into demand or supply:
$$QD = 800 - 2(200) = 800 - 400 = 400$$
10. So equilibrium price = 200 and equilibrium quantity = 400.
11. Surplus or shortage when $P=300$:
Calculate quantity demanded:
$$QD = 800 - 2(300) = 800 - 600 = 200$$
Calculate quantity supplied:
$$QS = 200 + 300 = 500$$
Since $QS > QD$, there is excess supply (surplus) of:
$$500 - 200 = 300$$
12. Surplus or shortage when $P=100$:
Calculate quantity demanded:
$$QD = 800 - 2(100) = 800 - 200 = 600$$
Calculate quantity supplied:
$$QS = 200 + 100 = 300$$
Since $QD > QS$, there is excess demand (shortage) of:
$$600 - 300 = 300$$
13. The demand curve $QD = 800 - 2P$ is downward sloping; the supply curve $QS = 200 + P$ is upward sloping.
14. Summary:
- Equilibrium price: 200
- Equilibrium quantity: 400
- Surplus at price 300: 300 units
- Shortage at price 100: 300 units
This explanation and math demonstrate how shifts and equilibrium work in supply and demand.