Ruby$-$Star Incorporated is considering two different vendors for one of its top$-$selling products which has an average weekly demand of $60$ units and is valued at $$50$ per unit. Inbound shipments from

vendor $1$ will average $380$ units with an average lead time $($including ordering delays and transit time$)$ of $3$ 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 $3-$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 $$27,500.($Enter your response as a whole number.$)$

b$.$ The average aggregate inventory value of the product if Ruby$-$Star used vendor $2$ exclusively is $$26,750.($Enter your response as a whole number.$)$

c$.$ How would your analysis change if average weekly demand increased to $120$ units per week?

The average aggregate inventory value of the product if Ruby$-$Star used vendor $1$ exclusively is $$.($Enter your response as a whole number.$)$