PA $11-2($Algo$)$ Anvil's Works requires on average...

Anvils Works' requires, on average, $3,000$ tons of aluminum each week, with a standard deviation of $900$ tons. The lead time to receive its orders is $12$ weeks. The holding cost for one ton of aluminum for one week is $$12.$ It operates with a $0\mathrm{.}95$ in$-$stock probability.

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

Note: Round your answer to nearest integer.

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

Note: Round your answer to nearest integer.

If its average inventory was $4,500$ tons, what would be its average holding cost per week?

Note: Round your answer to nearest integer.

If its average inventory was $13,000$ tons, what would be its average holding cost per ton of aluminum?

Note: Round your answer to $2$ decimal places.