Suppose a grocery store uses a P system for its inventory of apples, ordering once per week. Demand for apples averages $40$ cases per week, with a standard deviation of $5$ cases per week. Holding costs for the apples are $$10$ per case per year. The costs of each order are $$150.$ The company carries $3$ cases in safety stock to absorb uncertainty in demand. The company operates $52$ weeks per year.

What are the expected annual holding costs? Pick the closest answer.

Scenario $9\mathrm{.}10$

Suppose a grocery store uses a P system for its inventory of apples, ordering once per week. Demand for apples averages $40$ cases per week, with a standard deviation of $5$ cases per week. Holding costs for the apples are $$10$ per case per year. The costs of each order are $$150.$ The company carries $3$ cases in safety stock to absorb uncertainty in demand. The company operates $52$ weeks per year.

What are the expected annual holding costs? Pick the closest answer.

$200$

$210$

$220$

$230$

$240$

$250$