Meena Distributors has an annual demand for an airport metal detector of $1,440$ units. The cost of a typical detector to Meena is $$400.$ Carrying cost is estimated to be $18\%$ of the unit cost, and the ordering cost is $$27$ per order. If Purushottama Meena, the owner, orders in quantities of $300$ or more, he can get a $7\%$ discount on the cost of the detectors. Should Meena take the quantity discount?

What is the EOQ without the discount?

EOQ$=$ units $($round your response to one decimal place$).$

Since the total cost with the discount is the total cost without the discount, Meena order $300$ units at a time in order to qualify for the discount