A large distributor has $5$ retail outlets. Currently each outlet manages its ordering independently. Demand at each retail outlet averages $2000$ per day. Assume there are $250$ days per year. Each unit of product costs $200$ dollars, and holding cost per unit of product per year is $20\%$ of the product cost. The fixed cost of each order $($administrative plus transportation$)$ is $1500$ dollars in the decentralized system. The fixed cost of each order in the centralized system is twice of the decentralized system. Holding cost per unit are the same in the two systems.