The individual demand for community beaches of four community members:

P = 100 - Q

P = 60 - Q

P = 50 - Q

P = 100 - Q

The quantity of beaches is measured in linear miles.

a) Derive the aggregate willingness to pay (AWTP) equation for community beaches

b) If the marginal cost is $100, what is the optimal quantity of public beaches?

c) How many miles of public beaches would the private market provide? (MC = $100, again)