The company producing compact disk players has find that profit function for company is provided by P(x) = -x2 + 170x -125, where x is price of product. Both P and x are in dollars.
a. Write P(x) in form P(x) = a(x-h)2 + k by completing square. Illustrate all steps
b. Find maximum profit of company, and determine the price of product which results in maximum profit?
c. Compute price range for product that company should charge to be profitable? Describe how you arrived at the answer and illustrate work where required.