Suppose that you are going to sell cola at a football game and must decide in advance how much to order. Suppose that the demand for cola at the game, in liters, has a continuous distribution with p.d.f. I(x). Suppose that you make a profit of g cents on each liter that you sell at the game and suffer a loss of c cents on each liter that you order but do not sell What is the optimal amount of cola for you to order so as to maximize your expected net gain?