Spring 2020 Math 108 Section: Directions: Show all work, and answer each question that is asked. Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. A company that sells cameras has determined that the revenue generated by selling x cameras weekly can be modeled by the function R(x) =1600x -0.25x2, and the total cost associated with producing these cameras is given by C(x) = 14, 500+600x . Find a function to represent the profit from producing and selling x cameras. Use this function to determine the number of cameras that should be sold in order to maximize profit, and then find the maximum possible profit. Formula for profit P= sales- cost Work showing number of cameras to maximize profit 1600 X- 0.25 16 2 . (:25 ) = 3200 Working showing the maximum profit X = - 600 = 200 2 1 2 . 1. X + 60 0 = 0