An electronics store expects to sell $2520$ TVs at a steady rate next

year. The manager of the store plans to order these TVs from the

manufacturer by placing several orders of the same size spaced

equally throughout the year. The ordering cost for each delivery

is $$42$ for the setup costs and $$4$ per TV$.$ The carrying costs, based

on the average number of TVs in inventory, amount to $$30$ per

year for one TV$.$

IfC$($x$)$ is the inventory cost $($which is the sum of the ordering costs

and the carrying costs$)$ and x is the number of TVs in each order

$.$

C$($x$)=$

How many TVs the manager should request each time she places

an order to minimize the inventory cost