Bell Computers purchases integrated chips at $$$ per chip. The holding cost is $$$ per unit per$$ year, the ordering cost is $$$ per$$ order, and sales are steady at per month. The$$ company's supplier, Rich Blue Chip$$ Manufacturing, Inc., decides to offer price concessions in order to attract larger orders. The price structure is shown below.

$$

Rich Blue$$ Chip's Price Structure

Quantity Purchased

$$ Price$/$Unit

$1-99$ units

$$$

$100-199$ units

$$$

$200$ or more units

$$$

$$a$)$ What is the optimal order quantity and the minimum annual cost for Bell Computers to$$ order, purchase, and hold these integrated$$ chips?