flower shop must decide how many bouquets of roses to stock each day, and they have space for 5 bouquets. Any unsold bouquets are discarded at the end of the day. The unit cost per bouquet stocked is $4 (which is incurred whether the bouquet is sold or not), and the selling price is $30 per bouquet sold. The number of bouquets demanded each day, D, has the following probability distribution: d P(D = d) 0 0.1 1 0.1 2 0.2 3 0.3 4 0.2 5 0.1 The flower shop will sell up to the number of bouquets stocked, or number demanded, whichever is lower. For example, if the shop stocks 2 bouquets, it will sell 1 bouquet with probability P(D = 1) or 2 bouquets with probability P(D 2). (a) What is the expected number of bouquets demanded? (b) Suppose the flower shop stocks 5 bouquets. What is the expected profit (revenue minus costs)? (c) How many bouquets should the flower shop stock to maximize expected profit?