Consider an airport that produces noise that decays as the distance (d), in kilometers, from the airport increases: \(N(d)=1 / d^{2}\). Fritz works at the airport. Fritz's damage from noise is \(\$ 1\) per unit of noise and is associated with where Fritz lives. His costs of commuting are \$1 per kilometer (each way). The closest he can live to the airport is \(d=0.1 \mathrm{~km}\).

a. Write an expression for Fritz's total costs (noise and transportation).

b. What is the distance Fritz will live from the airport in the absence of compensation for the noise? What are his total costs?

c. Suppose Fritz is compensated for his damage, wherever he may live. How close to the airport will he choose to live? How much will he be compensated?