5. The demand for a product you are selling is given by =300−.002, where p is price per item and x is the number of items sold. The cost for making x items is given by the equation, =120+33,500.a. Write an equation for the profit function, P(x).b. Find the number of items sold to maximize profit. Be sure to show your work using only techniques from the 3.1 lecture. Other techniques will receive a score of zero.c. Find the maximum profit.