Suppose a certain city has a monopoly cable-television company.This company has total costs TC = 2.5Q².(Hint: using calculus, this means MC = 5Q since MC is the derivative of TC with respect to output.)

The demand in the community is of the form Q_d = 30 - P/5 (alternatively, you can write the demand equation as Q_d = 30 - 0.2P).

Graphically depict the demand curve as well as the marginal cost (MC) curve.

If the cable company is free to choose its own price P_m and quantity Q_m, graphically depict the monopoly equilibrium price and quantity.Add any other curve(s) to your diagram that may be required to obtain this outcome.

Compute and state the exact monopolist equilibrium price P_m and quantity Q_m that you depicted graphically.