Home Depot procures a popular bathtub from its supplier at a cost of $$275$ per unit. The holding cost at Home Depot's distribution center $($DC$)$ is $26\%$ of the purchase cost per unit per year. Weekly demand for the bathtub at the DC is normally distributed with a mean of $1,940$ units per week and a standard deviation of $226$ units per week. Home Depot would like to maintain a $93\%$ cycle service level for this product.

Suppose that Home Depot reviews its inventory continuously and that lead times for orders placed with the manufacturer are normally distributed with a mean of $3$ week$($s$)$ and a standard deviation of $2$ week$($s$).$

Compute the reorder point required to meet the desired service level.

Rounding instructions:

Carry calculations to at least $3$ decimal places.

Round your answer to the nearest tenth of a dollar $($one decimal place$).$