Anvils Works$$ requires, on average, $2800$ tons of aluminum each week, with a

standard deviation of $1000$ tons. The demand follows a normal distribution. The lead

time to receive its orders is $10$ weeks. Orders are made weekly. The holding cost for

one ton of aluminum for $1$ week is $$11.$ It operates with a $0\mathrm{.}98$ in$-$stock probability.

$($a$)$ On average, how many tons does it have on route?

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

$($c$)$ Suppose its on$-$hand inventory is $6375$ tons, on average. What in$-$stock probability

does it offer to its customers? What are its weekly inventory turns?