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.

a$.$ On average, how many tons does it have on order?

Note: Round your answer to nearest integer.

Tons

b$.$ On average, how many tons does it have on hand?

Note: Round your answer to nearest integer.

c$.$ If its average inventory was $8,500$ tons, what would be its average holding cost per week?

Note: Round your answer to nearest integer.

If its average inventory was $9000$ tons, what would be its average holding cost per ton or aluminum?