Suppose a small beauty supply company sells x lip sticks per year at a price given by the following price demand equation: p = 16 - 0.002x. Also suppose that the company's cost equation is as follows C(x) = 500 + 2x 1. Find the domain for the Profit function. 2. Find P(x). 3. What price should the company charge for the lip sticks to maximize profit? (Show your work to receive credit for this step!) 4. Verify that the critical number used to find the price in step 3 is the ABSOLUTE MAXIMUM by using the Second Derivative Test Theorem for ABSOLUTE EXTREMA. 5. What is the maximum profit?