Suppose you're selling n items at a garage sale. Let x1, x2,..., xn represent the dollar values of the items you're selling. These actual dollar values are known to you. To simplify the management of your garage sale, you want to sell everything for the same fixed price of d dollars. The question is, what should this fixed price be? Let's assume that for each item, if the asking price of the item is more than its value, then the item will not sell, and otherwise, it will sell for two times the asking price. Example, if you mark an an item to be $x, it will sell for $2x (People just tend to overpay for everything these days!)