Meena Distributors has an annual demand for an airport metal detector of units. The cost of a typical detector to Meena is $$.$ Carrying cost is estimated to be $\%$ of the unit cost, and the ordering cost is $ per order. If Purushottama Meena, the owner, orders in quantities of or more, he can get a $\%$ discount on the cost of the detectors. Should Meena take the quantity discount? Part $2$ What is the EOQ without the discount?