Xavier L is the purchasing agent for Central Valve Company, which sells industrial valves. One of Central's most popular valves has an annual demand of $4000$ units. The cost of each valve is $$90$ and the inventory carrying cost is estimated at $10\%$ of the cost of each valve. Betsy has made a study of the costs involved in placing an order and has concluded that the average ordering cost is $$25$ per order. Furthermore it takes about $5$ working days for an order to arrive from the supplier. Assume $250$ working days per year.Assume that the demand is random, with a daily average of $16$ units $(4000/250),$ and a daily standard deviation of $4$ units. What is a reorder point with a $98\%$ service level?