$5)$ You are the manager of a distribution center. Answer the following questions given that the estimated annual demand for a product is $2,400.$

a$.$Assume the optimal order quantity, Q$*,$ is equal to $200.$ How often do you need to order, T$*($month$),$ and how many times per year, N$*?$

T$*$: $$ N$*$:

$**$Please fill the blanks with only numbers. Note that the unit for T$*$ is month.

$$

b$.$Assume that the annual demand is variable with an average of $2,400.$ You calculated the Reorder Point, ROP, equal to $500.$ From the time you will place your order $($i$.$e$.,$ when inventory falls to the Reorder Point$)$ until the time you will receive the order, you expect to sell $250$ products. What is the level of your On$-$hand Inventory at the time you will receive the order?

On$-$hand Inventory: