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Part $1$

$$Dave$\text{'}$s Sporting Goods sells Mountain Mouse$$ freeze$-$dried meals.$$ Dave's uses a continuous review system to manage meal inventories. Suppose Mountain Mouse offers the following volume discounts to its$$ customers:

$1-650$meals: $$$$11\mathrm{.}00$per meal

$650$ or more$$ meals: $$$ $10\mathrm{.}00$per meal

Annual demand is $1950$meals$,$ and the cost to place an order is $16$$$.$ Suppose the holding cost is $4\mathrm{.}75$$ per meal per year. How many meals should$$ Dave's order at a$$ time?

Part $2$

$$Dave$\text{'}$s Sporting Goods should order

$$

enter your response here meals at a time to take advantage of the lower cost per unit. $($Enter your response rounded to the nearest whole number.$)$