Given the data below, please determine the following inventory metrics. $(4$ points$)$

a$.$ what is the appropriate order quantity?

b$.$ what is the annual holding cost?

c$.$ how many orders will the firm make in a year?

d$.$ at what reorder point should the firm order more?Annual demand

Holding cost per unit

$15,000$ units

Set$-$up costs per order

$$3\mathrm{.}00$

Lead time

$$25$

Working days per year

$5$ days

$250$

Price per unit

$$10$

Quantity discount at $50,000$ units

$$7\mathrm{.}50$