A monopolist faces a market (inverse) demand curve P = 50 − Q . Its total…

A monopolist faces a market (inverse) demand curve P = 50 − Q .
Its total cost is C = 100 + 10Q + Q2 .
a. (1 point) What is the competitive equilibrium benchmark in
this market? What profit does the firm earn if it produces at this
point?
b. (2 points) What is the monopoly equilibrium price and
quantity? What profit does the firm earn if it produces at this
point?
c. (2 points) What is the deadweight loss at the monopoly
outcome?
d. (2 points) If we implement some form of regulation here
(don’t worry about different forms of pricing and rate structure
yet, just stick with the basic model), what would the welfare-
maximizing regulated price and quantity be? What is deadweight loss
at that point?
e. (1 point) Why is there still deadweight loss at the regulated
outcome?
f. (2 points) Draw a graph illustrating your answers (hint: feel
free to freehand-draw the AC curve, don’t spend too much effort
calculating it).