Ruby$-$Star Incorporated is considering two different vendors for one of its top$-$selling products which has an average

weekly demand of $100$ units and is valued at $$80$ per unit. Inbound shipments from vendor $1$ will average $310$ units with

an average lead time $($including ordering delays and transit time$)$ of $5$ weeks. Inbound shipments from vendor $2$ will

average $470$ units with an average lead time of $2$ weeks. Ruby$-$Star operates $52$ weeks per year; it carries a $5-$week

supply of inventory as safety stock and no anticipation inventory.

a$.$ The average aggregate inventory value of the product if Ruby$-$Star used vendor $1$ exclusively is $

$($Enter your

response as a whole number.$)$