A manufacturer of exercise equipment purchases the pulley section of the equipment from a supplier who lists these prices: less than $1000,$ $$5\mathrm{.}8$ each; $1,000$ to $3,999,$ $$5\mathrm{.}4$ each; $4,000$ to $5,999,$ $$5\mathrm{.}0$ each; and $6,000$ or more, $$4\mathrm{.}6$ each. Ordering costs are $$70$ per order, annual carrying costs are $30$ percent of the purchase cost, and annual usage is $5,000$ pulleys. Determine an order quantity that will minimize the total cost $($Ordering $+$ Holding $+$ Purchase$).$