Problem $2)(14$ points$)$

A manager has just received a revised price schedule for its main product from a vendor as seen in the table below. What order quantity should the manager use to minimize total costs? Annual demand is $24,000$ units, ordering cost is $$120,$ and annual carrying cost is $30$ percent of the unit price per unit.

$\backslash$table$[[$Quantity$,$Unit Price$],[1$ to $799,$$$12\mathrm{.}60$