Joe Herrys machine shop uses $2500$ brackets during the course of the year, These brackets are purchased from a supplier go miles away. The following information is known about the brackets.

Annual demand$-4200$

Holding cost per bracket per year$--$$$1\mathrm{.}50$

Order cost per order $-$$$18\mathrm{.}75$

Lead time $3$ days

Working days per year $-250$

$1.$ what is EOQ

$2.$ What is average inventory if the EOQ is used $?$ What would be the annual inventory holding cost?

$3.$ What is the optimal number of orders per year? What would be the annual order cost?

$4.$ What is total annual cost of managing inventory $?$

$5.$ What are the optimal number of days between any two orders?

$6.$ What is reorder point $?$