what is social welfare? ( The b part)

3. Because of the huge fixed cost of running pipes to everyone's home, natural gas is a natural monopoly. Suppose demand is; Q = 100 - P. Suppose marginal cost is $20, and the fixed cost of setting up the natural gas pipelines is $1,000 a) Compute the industry outcome (quantity, price, profit and consumer surplus) under unregulated monopoly. (Answer: CS = 800 USD) b) What regulatory price maximizes social welfare? Compute the industry outcome (quantity, profit and consumer surplus) under this price. Would this policy be sustainable in the long run? (Hint: the social welfare will be maximized in perfect competition) c) Compute the industry outcome with the laxer regulatory policy of constraining price to be no greater than average cost. Would this policy be sustainable in the long run? (Answer Q = 64.5 units) d) Graph the three different situations of part a, part b, and part c