An electronics store expects to sell $1800$ 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 $$24$

for the setup costs and $$5$ per TV$.$ The carrying costs, based on the average number of TVs in inventory, amount to $$24$ per year for

one TV$.$

If $C(x)$ 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?

Click here if you cannot come up with an equation $($you will lose $50\%$ of your points if you do$)$