large hospital uses a certain intravenous solution that it maintains in inventory. Assume the hospital uses reorder point method to control the inventory of this item. Assume the hospital operates $52$ weeks per year. Pertinent data about this item are as follows:Forecast of demanda $=1,000$ units per weekForecast errora, std$.$ dev. $=50$ units per weekLead time $=4$ weeksCarrying cost $=25\%$ per yearPurchase price, delivered $=$ $$52$ per unitReplenishment order cost $=$ $$20$ per orderStockout cost $=$ $$10$ per unitIn$-$stock Probability during the lead time $=90\%$ a Normally distributedDue to possible rounding effect, please pick the closest number in the following options.If the lead time is normally distributed with a mean of $4$ weeks and a standard deviation of $0\mathrm{.}5$ weeks, what's the reorder point?