Math 230/fa 2017 ne-e. Group Names: Damon CherJ Project Please protect your group work. Each of you needs to clearly indicate which part of the project was done by you (in your own hand writing). I do not want to see someone riding for free on the project. Work must be shown in detail and with mathematical rigor, logic, and calculus approach. Business-Maximizing Revenue A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit, in dollars, must be plx) 1000-x The manufacturer also determines that the total cost of producing x units is given by Clx) 3000+20x a) Find the total revenue R(x). b) Find the total profit P(x). c) How many units must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per unit must be charged in order to make this maximum profit?