(30 pts.) The "Dry Feet" shoe store sells rubber shoes for protective use in snow. Past experience has indicated that the selling season is only 4 months long, and lasts from November 1 through February 28 . The sales division has forecasted the following demands for next year. All shoes sold by this store are purchased from outside sources. The unit purchasing cost is $4 per pair; however, the supplier will only sell in lots of 10,20,30,40, or 50 pair. Any orders for more than 50 or less than 10 will not be accepted. The ordering cost is a fixed cost of $2. Due to large in-process inventories, the store will carry no more than 40 pairs of shoes in inventory at the end of any one month. Carrying charges are $0.2 per pair per month. Assuming that it is desired to have both the beginning and ending inventory at zero, find an ordering policy that will minimize total seasonal costs using Dynamic Programming. ( Show stages 4 and 3 only )