Solve the optimization problem. HINT [See Example 2.] Maximize P = xyz with X + y = 18 and y + z = 18, and x, y, and z 2 0. 2. Hercules Films is deciding on the price of the video release of its lm Son of Frankenstein. Its marketing people estimate that at a price of p dollars, it can sell a total of q = 240,000 - 20,000p copies. What price will bring in the greatest revenue? p=$ X