Question $2.$ Thomas Kratzer is the purchasing manager for the headguarters of alarge insurance company chain with a central inventory operation. Thomas's fastest$-$movina inventory item has a demand of $6\mathrm{.}000$ units per vear. The cost of each unit is $$100,$ and the inventory carrying cost is $$10$ per unit per vear The averacge ordering cost is $$30$ per order It takes about $5$ days for an orde to arrive, and the deand for $1$ week is $120$ units. $($This is a corporate operation, and there are $250$ working days per year$)$

al What is the EOQ?

b$)$ What is the optimal number of orders per year?

d What is the optimal number of days in between any two orders?

d$)$ What is the total annual inventory aost, induding the cost of the $6\mathrm{.}000$ units?