. Given that Q = F(P), maximize profits by (a) finding the inverse function P = = f(Q), (b) using Cramer's rule for the first-order condition, and (c) using the Hessian for the second-order condition. The demand functions and total cost function are Q = 100-3P +2P2 Q = 75 +0.5P - P TC = Q1 +2Q1 Q + Q where Q and Q are substitute goods, as indicated by the opposite signs for P and P in each equation (i.e., an increase in P will increase demand for Q and an increase in P will increase demand for Q). onging