Additional Algo $12-6$ Quantity Discounts

A store estimates their holding costs at $\backslash (28\backslash \%\backslash )$ and incurs a fixed cost of $\backslash (\backslash$$ $68\mathrm{.}00\backslash )$ for each order. Demand for an item is $2,125$ units per year. A supplier offers a price of $\backslash (\backslash$$ $10\mathrm{.}00\backslash )$ each for quantities of $375$ or fewer and a price of $\backslash (\backslash$$ $9\mathrm{.}40\backslash )$ for quantities over $375$ units.

$1.$ How many units should the retailer order at one time?

$2.$ What is the total annual cost at this order point?

Note: Round your answer to the nearest integer value.

$1.$ Number of units

$2.$ Total annual cost