Question: Consider now a monopolist who advertises her product. Demand (Q) depends both on the price charged (P) and the expenditures on advertising (A):
Q = (20 - P)(1 + 0.1A - 0.01A2)
Costs are C(Q, A) = 10Q + 15 + A
a. Derive the firm's profit maximizing price and output if it does not advertise.
b. Now derive the solution when the firm can simultaneously set both price and advertising. Find the optimal price, output, and advertising level
c. How much additional profit does the monopolist generate from being able to advertise?