$-$Cyber Chemicals uses liquid nitrogen on a regular basis. Average daily demand is normally distributed with a mean of $184$ gallons and a standard deviation of $47.$ Cyber operates $6$ days a week and orders from its supplier once each week. The supplier takes $1$ week to deliver Cybers order.

What is its average order quantity?

Suppose an order$-$up$-$to level of $2,460$ is used. What is its expected on$-$hand inventory?

Suppose an order$-$up$-$to level of $2,550$ is used. What is its expected on$-$order inventory, $SD=162\mathrm{.}8?$

Suppose an order$-$up$-$to level of $2,694$ is used. What is its in$-$stock probability, $SD=162\mathrm{.}8?$

Suppose an order$-$up$-$to level of $2,425$ is used. What is its stockout probability, $SD=162\mathrm{.}8?$