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Part $1$

Rocky Mountain Tire Center sells

$13,000$

$$go$-$cart tires per year. The ordering cost for each order is

$$$$35,$

and the holding cost is

$40\%$

of the purchase price of the tires per year. The purchase price is

$$$$24$

per tire if fewer than

$200$

tires are$$ ordered,

$$$$18$

per tire if

$200$

or

more but

fewer than

$8,000$ tires

are$$ ordered, and

$$$$15$

per tire if

$8,000$

or more tires are ordered.

Part $2$

$$a$)$ How many tires should Rocky Mountain order each time it places an$$ order?

Rocky$$ Mountain's optimal order quantity is

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

Part $3$

$$b$)$ What is the total cost of this$$ policy?

Total annual cost of ordering optimal order

sizeequals$=$