4) A city's population is growing at the rate of P' (t) = 10, 000e0 025 , where t is the number of years since 2005. By how many people would the city expect to grow between 2010 and 2030 if the rate stays steady? 5) In producing and selling a certain item, a company has the marginal revenue function R'(x) = -0.03x+120 and the marginal cost function C'(x) = 0.04x +12vx , where the money is measured in dollars. Find the company's profit for making and selling the first 144 of these items. Love monlouborg a Js web naq issilihol To anof 00 guisebong to sees odr bail yub for 0012 6) The demand function for a certain item is p = D(x) =-0.06x +30, and the supply function is p = S(x) =0.07x+4. The price p is in dollars, and x is the number of items which will be bought or sold at that price. Find each of the following. a) The equilibrium point b) The consumers' surplus lw sunsys c) The producers' surplus