A retired potter can produce china pitchers at a cost of $5 each. She estimates her price function to be p = 17 - 0.5x, where p is the price at which...

A retired potter can produce china pitchers at a cost of $5 each. She estimates her price function to be p = 17 - 0.5x, where p is the price at which exactly x pitchers will be sold per week. Find the number of pitchers that she should produce and the price she should charge in order to maximize profit. Also find the maximum profit.