Annual demand is $7500,$ cost per order is $$65/$order$,$ annual holding $($carrying$)$ cost per unit is $$3/$unit$,$ the company works $300$ days a year and lead time demand $($m$)$ is $6$ working days. If the company finds affer analyzing the behavior of lead time demand and found that it is not constant and shows variability that takes a normal distribution with a mean of $160$ and a standard deviation of

$8.$ If the company allows shortages $2$ times a year. The approximate number of orders per year is:

$0$ a$.12$

$$ b$.10$

O c$.$ Cannot be calculated with the given information

O d$.8$

O e$.13$