Additional Algo $11-5$ On$-$Hand Inventory

A fabricating shop orders supplies every $6$ days. The lead time for deliveries is $9$ days. Demand for steel averages $30$ pounds per day with a standard deviation of $3\mathrm{.}3$ pounds. The holding cost for steel is $$0\mathrm{.}6$ per pound per day. The restaurant wants to achieve an instock probability rate of $99\mathrm{.}87\%$ for steel.

On average, how many pounds of steel will the fabricating shop have on hand?

Note: Round your answer to $1$ decimal place.

On$-$hand inventory

pounds