Anvils Works' requires, on average, $2,500$ tons of aluminum each week, with a standard deviation of $800$ tons. The lead time to receive its orders is $11$ weeks. The holding cost for one ton of aluminum for one week is $$11.$ It operates with a $0\mathrm{.}98$ in$-$stock probability.

If its average inventory was $9,000$ tons, what would be its average holding cost per ton of aluminum?