Paramount electronics has an annual profit given by p = −100,000 + 5,000q − 0.25q2 dollars, where q is the number of laptop computers it sells each year. the number of laptop computers it can make and sell each year depends on the number n of electrical engineers paramount employs, according to the equation q = 30n + 0.01n2. use the chain rule to find dp dn n = 20 . hint [see example 3.] (round your answer to the nearest whole number.) dp dn n = 20 =

White truffles are a very prized and rare edible fungus that grow naturally in the countryside near alba, italy. suppose that it costs $200 per day to search for white truffles. on an average day, the total number of white truffles (t) found in alba is t = 20x − x 2 , where x is the number of people searching for white truffles on that day. white truffles can be sold for $100 each. if there is no regulation, how many more people will be searching for white truffles than the socially optimal number?