A retired potter can produce china pictures 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 pictures 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 pictures will be sold per week. Find the number of pictures that she should produce and the price that she should charge in order to maximize profit. also find the maximum profit.