Mooncake is a Chinese bakery product traditionally eaten during the
Mid-Autumn Festival. Many types of fillings and
crusts can be found in traditional mooncakes according to the region's
culture. Now given the inventory amounts and
the prices of all kinds of the mooncakes, together with the maximum
total demand of the market, you are supposed to
tell the maximum profit that can be made. Note: partial inventory
storage can be taken. The sample shows the following situation: given
three kinds of
mooncakes with inventory amounts being 180, 150, and 100 thousand
tons, and the prices being 7.5, 7.2, and 4.5
billion yuans. If the market demand can be at most 200 thousand tons,
the best we can do is to sell 150 thousand
tons of the second kind of mooncake, and 50 thousand tons of the third
kind. Hence the total profit is 7.2 + 4.5/2 =
9.45 (billion yuans).