Sam has to solve a basic EOQ problem $.$ In his model, monthly demand is $2500$ units, unit holding cost is $$10$ per unit per month, and each order costs us $$200,$ What is the economic order quantity, assuming $9$ month per year and a purchase cost of $$10$ per unit? Q$^*=$EOQ$=$ sqrt $(2*$ D$*$ S$)$ R : Annual Demand, S: Unit Setup$/$Ordering Cost, and H: Annual Unit Holding Cost $302\mathrm{.}12310\mathrm{.}12325\mathrm{.}14316\mathrm{.}23312\mathrm{.}15$