Anvils Works' requires, on average, $2,700$ tons of aluminum each week, with a standard deviation of $1,100$ tons The lead time to

receive its orders is $12$ 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.

Answer is complete and correct.

Tons

b$.$ On average, how mary tons does It have on hand?

Note: Round your answer to nearest integer.

Answer is complete and correct.

c$.$ If Its average inventory was $7,500$ tons, what would be its average holding cost per week?

Note: Round your answer to nearest integer.

Answer is complete and correct.

Average holding cost per week

$82,500$

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

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

Answer is complete and correct.

Average holding cost per ton

e$.$ Suppose its on$-$hand inventory is $5,400$ tons, on average. What in$-$stock probability does it orrer to its customers? Hint use the

$=$NORM S$.$DIST $($z$,1)$ Excel function.

Note: Do not found intermediate calculations or your $z$ value. Round your final answer to $4$ decimal places.

Answer is complete but not entirely correct.