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Part $1$

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?

Part $2$

The optimal order quantity after the change in pricing structure is

$$

$178$ units $($enter your response as a whole $$number$).$

The total annual cost for Bell computers to$$ order, purchase, and hold the integrated chips is $$$

$$

$1000($round your response to the nearest whole$$ number$).$