Determine question $12$ to $15$ based on the following.problem:

Purinnerds Dog Food is a very popular product at Kay Gnetin'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. Lead$-$time for this is $8$ days. Currently, Kay orders $50$ time per year.

If Kay places $50$ orders per year, what would her annual total inventory costs be$?$

$$1936$

$$600$

$$1200$

$$2536$