The pharmaceutical industry often justifies the high prices for new drugs by arguing that they research as many as one hundred new compounds before they come up with one an extremely successful product that pays for the costs associated with the other attempts to develop new products.

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?