Demand for a good with external benefits is Qd = 90 − 2P and supply is Qs = 4P − 30. The government pays producers a subsidy of $6 per unit. What happens to the price consumers pay, and what does the subsidy cost?
- Before: 90 − 2P = 4P − 30, so 6P = 120, P = $20 and Q = 50.
- With the subsidy producers receive P + 6: Qs = 4(P + 6) − 30 = 4P − 6.
- New equilibrium: 90 − 2P = 4P − 6, so 6P = 96, P = $16 and Q = 90 − 32 = 58.
- Cost of the subsidy = 6 × 58 = $348.
Answer: The consumer price falls by $4 (from $20 to $16), quantity rises from 50 to 58 and the subsidy costs $348.