The margin buildup of a 3 stage fashion product supply chain is significant: the manufacturer makes the product for $1 per unit, sells it to the distributor for $1.25, who sells it to the retailer for $1.75, and the retailer sells the product in the market for $2.50. Conclude on what will be the inventory and service level policy of each of these players and suggest ways in which you would incent downstream partners to stock more of the product.