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5. Suppose the demand for flu shots can be described by the inverse function P=80-Q and the inverse supply curve is given as
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Answer:

Market equilibrium occurs where MPB = MPC (private demand = private supply)

80 - Q = 8 + 2Q

72 = 3Q

Q = 24 units

P = $56 per unit

There are positive consumption externalities so that MSB = 80 - 0.5Q

Socially efficient equilibrium has MSB = MPC

80 - 0.5Q = 8 + 2Q

72 = 2.5Q

Q = 28.8 units

P = $65.60 per unit

Under consumption since socially efficient quantity is more than private quantity

DWL = 0.5*(68 - 56)*(28.8 - 24) = $28.80

For this case there should be a subsidy because there is an underconsumption and production and consumption should be encouraged

Size of the subsidy = difference in MSB and MPB at social quantity = 65.60 - 51.20 = $14.40 per unit

Dollars 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80 Quantity MPB MPC --MSB

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