Question $2[50$ Points$]$: A medical supply distributor needs to determine the order

quantities and reorder points for the various supplies. A particular item of interest costs

$$30$ to order. The yearly carrying cost of the item is $20$ percent of the product cost, and

the item's cost is $$250.$ Annual demand for the item is eight hundred units. Lead time for

delivery is eight days and constant.

a$)$ What is the EOQ for this item?

b$)$ What is the total inventory management cost for this item?

c$)$ What is the investment cost for the item?

d$)$ What is the reorder point?