The Purin Dog Food is a very popular product at Kay Noemi$$s corner grocery. Demand for this is relatively constant, and the total demand for the year is $1,200$ bags. The cost of placing an order is $$50,$ while the holding cost is $$3$ per unit per year. The store is open $300$ days per year. The reorder lead time for this product is $8$ days.

$($a$)$ if Kay places $50$ orders per year, what would her ordering and holding costs be$?$

$($b$)$ if Kay wishes to minimize her total inventory cost, how many units should she order each time an order is placed? How much would her ordering and holding costs be$?$

$($c$)$ What is the reorder point?