Additional Algo $11-4$ On$-$Order Quantity

A fabricating shop orders supplies every $5$ days. The lead time for deliveries is $8$ days. Demand for oxygen averages $29$ pounds per day with a standard deviation of $3\mathrm{.}2$ pounds. The holding cost for oxygen is $$0\mathrm{.}55$ per pound per day. The fabricating shop wants to achieve an in$-$stock probability rate of $90\%$ for oxygen.

On average, how many pounds of oxygen will the fabricating shop have on order?