$$Dave$\text{'}$s Sporting Goods sells Mountain Mouse$$ 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:

$1-250$meals: $$$$7\mathrm{.}25$ per meal

$251$or more$$ meals: $$$$6\mathrm{.}75$ per meal

Annual demand is $2350$meals$,$ and the cost to place an order is $$$$16.$ Suppose the holding cost is $$$ 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.$)$