Demand and supply are Qd = 100 − 2P and Qs = 4P − 20, where P is the price in dollars. Supply then falls by 30 units at every price. Find the equilibrium price and quantity before and after.
- Before: 100 − 2P = 4P − 20, so 120 = 6P and P = $20. Quantity = 100 − (2 × 20) = 60 units.
- New supply: Qs = 4P − 20 − 30 = 4P − 50.
- After: 100 − 2P = 4P − 50, so 150 = 6P and P = $25. Quantity = 100 − (2 × 25) = 50 units.
Answer: Price rises from $20 to $25 and quantity falls from 60 to 50 units.