Target is doing an inventory analysis for a popular item which has a demand of $10,000$ units per year. The cost of each item is $ $9\mathrm{.}99,$ and the inventory carrying cost is $$\mathrm{.}88$ per unit per year. The average ordering cost is $$15$ per order. It takes about $3$ days for an order to arrive. The store is open $360$ days per year.