rocky mountain tire center sells $$11,000$ ?go cart tires per year... Rocky Mountain Tire Center sells $11,000$ ?go$-$cart tires per year. The ordering cost for each order is $\backslash (\backslash$$ $40\backslash ),$ ?and the holding cost is $\backslash (40\backslash \%\backslash )$ ?of the purchase price of the tires per year. The purchase price is $\backslash (\backslash$$ $18\backslash )$ ?per tire if fewer than $200$ ?tires are ordered, $\backslash (\backslash$$ $16\backslash )$ ?per tire if $200$ ?or more$-$but fewer than $5,000-$tires are ordered, and $\backslash (\backslash$$ $13\backslash )$ ?per tire if $5,000$ ?or more tires are ordered. 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$).$