Supply Demand Analysis
**Problem:** Given a table of prices with corresponding quantities supplied and demanded, calculate quantities demanded and supplied at specific prices and identify surplus, shortage, or equilibrium for each.
1. **At Price $P=8$:**
- Quantity demanded ($Q_d$) = 2
- Quantity supplied ($Q_s$) = 8
- Surplus/Shortage = $Q_s - Q_d = 8 - 2 = 6$, so there is a **surplus of 6 units**.
2. **At Price $P=6$:**
- Quantity demanded ($Q_d$) = 10
- Quantity supplied ($Q_s$) = 10
- Surplus/Shortage = $10 - 10 = 0$, so the market is in **equilibrium**.
3. **At Price $P=5$:**
- Quantity demanded ($Q_d$) = 13
- Quantity supplied ($Q_s$) = 13
- Surplus/Shortage = $13 - 13 = 0$, so the market is in **equilibrium**.
4. **At Price $P=3$:**
- Quantity demanded ($Q_d$) = 18
- Quantity supplied ($Q_s$) = 15
- Surplus/Shortage = $15 - 18 = -3$, so there is a **shortage of 3 units**.
**Elasticity Types and Demand Curves:**
1. **Perfect Elastic:** Demand curve is horizontal, quantity demanded changes infinitely with price change.
2. **Perfect Inelastic:** Demand curve is vertical, quantity demanded does not change with price.
3. **Fairly Elastic:** Demand curve is downward sloping but relatively flat; quantity demanded is sensitive to price.
4. **Fairly Inelastic:** Demand curve downward sloping but steep; quantity demanded is less sensitive to price.
5. **Unit Elastic:** Demand curve where percent change in quantity equals percent change in price.
**Total Revenue Maximized:**
- Total revenue is maximized at **Unit Elastic** demand because the proportional change in quantity demanded exactly offsets the price change.
Hence, answer to (vi) is: **Unit Elastic**.