A monopolist has demand and cost curves given by:
Q = 200 - P
TC = 50 + 25Q + 0.1Q2
Show work for all parts:
a. Find the equation for the inverse demand curve (P as a function of Q).
b. Show total revenue as a function of Q.
c. Show marginal revenue as a function of Q.
d. Show marginal cost as a function of Q.
e. Find the profit-maximizing output (Q).
f. Use the inverse demand curve to find the profit-maximizing price.