Weekly demand for wheelchairs at a Walgreens warehouse is normally distributed with a mean of

$698$ units per week and a standard deviation of $230$ units per week. Walgreens orders the

wheelchairs from Medline at a cost of $$131$ per unit and the holding cost is $31\%$ of the purchase

cost per unit per year. Walgreens would like to maintain a $98\%$ cycle service level for its wheelchairs.

Suppose that Walgreens reviews its inventory continuously and that lead times for orders placed

with Medline are normally distributed with a mean of $4$ week$($s$)$ and a standard deviation of $3$

week$($s$).$

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

Rounding instructions:

Carry calculations to at least $3$ decimal places.

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