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?

EOQ$=$

$$

$29\mathrm{.}3$ units $($round your response to one decimal$$ place$).$

Part $3$

Since the total cost with the discount is

$$

the total cost without the$$ discount, Meena

$$

should

should not

order $300$ units at a time in order to qualify for the discount.