Use Table $14\mathrm{.}1.$ Cyber Chemicals uses Ilquid nitrogen on a regular basis. Average dally demand is normally distributed with a mean of $178$ gallons and a standard devlation of $45.$ Cyber operates slx days a week and orders from its supplier once each week. The supplier takes one week to dellver Cyber's order.

a$.$ Suppose an order$-$up$-$to level of $2,200$ is used. What its the average order quantity?

b$.$ Suppose an order$-$up$-$to level of $2,480$ is used. What its the expected on$-$hand Inventory?

c$.$ Suppose an order$-$up$-$to level of $2,600$ is used. What its the expected on$-$order Inventory?

d$.$ Suppose an order$-$up$-$to level of $2,697$ is used. What is its in$-$stock probability? Note: Round your answer to $4$ decimal places.

e$.$ Suppose an order$-$up$-$to level of $2,400$ is used. What is its stockout probability? Note: Round your answer to $4$ decimal places.

f$.$ Suppose Cyber Chemicals wants a $0\mathrm{.}945$ in$-$stock probability. What should Its order$-$up$-$to level be$?$