Prableme $3(49$ points$)$ to the cectral Morciceab warehouve thet is located in Casablimea. The company wants to establish in to $1800$ units. Eacts time an order is placed, the company incurs a fived cost of $10000$ DH$.$ that covers crder placement, traniportation to the comporny's warehooses, and handling of the unis. Ench unit costs ElectroMar $3000DH$ in material cose and the holding cost per year expressed as a fraction of unit value is estimuted to be $h=0\mathrm{.}25$

Part I

Using the EOQ formula, evaluate the optimal lot size $Q^{-}$that the company should order in each replenishment loe, and determine the corresponding cycle inventon.

Derermine the optimal onder frequency $n^{**}($expressed in number of orders per year$)$ corresponding to Q$*.$