Inventory Control: Economic Order Quantity EOQ $(20\%)$:

A large retailer of consumer electronic components buys flat screen TVs by the pallet load. Each pallet contains $36$ boxes, one TV per box. Partial pallets can be ordered to round out order quantities. The retailer orders and sells $7400$ Flat screen TVs per year. The cost accounting department has estimated that for the purchasing department to order and receive a shipment costs $$79\mathrm{.}45$ per order $($regardless of the size of the order$/$shipment$).$ The cost accounting department has also estimated that annual carrying costs are $$67\mathrm{.}02$ per DVD player.

What is the economic order quantity $($EOQ$)?$

Group of answer choices

$132\mathrm{.}46$

$66\mathrm{.}23$

$55\mathrm{.}87$

$122\mathrm{.}46$

$56\mathrm{.}87$