An airport is located next to a banana farm. The airport can fly X planes per day, but the burning fuel will cause air pollution in the amount of Y per day, where Y can be any positive number. The total profits for the airport per day are given by 50X − X2 + (9 − 2Y ) 2 . The banana farm needs clean air to produce bananas, B, so the air pollution caused by the airport makes growing bananas more costly. The banana farm’s profit function is 20B − B2 − (5 + Y ) 2 . What is the socially optimal level of air pollution? (a) 7 (b) 9/2 (c) As much as possible (d) 23/3 (e) 4

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An airport is located next to a banana farm. The airport can fly X planes per day, but the burning fuel will cause air pollution in the amount of Y per day, where Y can be any positive number. The total profits for the airport per day are given by 50X − X2 + (9 − 2Y ) 2 . The banana farm needs clean air to produce bananas, B, so the air pollution caused by the airport makes growing bananas more costly. The banana farm’s profit function is 20B − B2 − (5 + Y ) 2 . What is the socially optimal level of air pollution?

(a) 7

(b) 9/2

(c) As much as possible

(d) 23/3

(e) 4

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