Use Table $14\mathrm{.}1.$ ACold Incorporated is a frozen$-$food distributor with $10$ warehouses across the country. Ivan Tory, one of the warehouse managers, wants to make sure that the Inventory policles used by the warehouse are minimizing inventory while still maintalning quick dellvery to ACold's customers. Because the warehouse carrles hundreds of different products, lvan decided to study one. He picked Caruso's Frozen Plzza $($CFP$).$ Demand for CFPs averages $384$ per day with a standard devatlon of $157.$ Because ACold orders at least one truck from its supplier each day, ACold can essentlally order any quantity of CFP it wants each day. In fact, ACold's computer system is designed to implement an order$-$up$-$to policy for each product. Ivan notes that any order for CFPs arrives five days after the order.

a$.$ Suppose an order$-$up$-$to level of $2,404$ is used. What is the expected on$-$hand Inventory?

Note: Use Table $14\mathrm{.}1$ and round to nearest integer.

b$.$ Suppose an order$-$up$-$to level of $2,547$ is used. What is the expected on$-$order inventory? Note: Round your answer to the nearest integer.

Expected on$-$hand inventory

c$.$ Suppose an order$-$up$-$to level of $2,031$ is used. What is the in$-$stock probability? Note: Use Table $14\mathrm{.}1.$ Round your answer to $1$ decimal.

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d$.$ Suppose ACold wants a $0\mathrm{.}94$ in$-$stock probability. What should the order$-$up$-$to level be$?$ Note: Use Table $14\mathrm{.}1.$ Round your answer to the nearest integer.