Problem $83(40$ points!Planet Mar is a home applianco retail company that sells among others a new brund or Not $$ereen teloren TVs are imported from Taiwan. They are frasurse l amonte alp to Fungter Pun and they arentto the central Moroocan warehouse thet is loomed in Casablanca. The company wants to establishin inventory plan for its most popular brand of TVs called Smart $1.$ The manger evaluntes the annual dealer to $1500$ units. Ench time an order is placed the company incurs a fixed cost of $10000$ DIs that covers arder placement, transportation to the company's warehouses, and handling of the units.Each unit costsElectroMar $3000$ DHs in material cose$,$ and the holding cost per ycar expressed as a fraction of unit valle is estimated to be h$=0\mathrm{.}25$PartI$1.$ Using the EOQ formals, evaluste the optimal lot size O$*$ that the company should order In euch replenishment lot, and determine the corresponding cycle inventory$2.$ Determine the optimal order frequency n$*($expressed in number of orders per year$)$ corresponding toQ$*$