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$)$ WhatistheEOQforthisitem?

b$)$ Whatisthetotalinventorymanagementcostforthisitem? c$)$ Whatistheinvestmentcostfortheitem?

d$)$ Whatisthereorderpoint?