$($b$)$ Determine the EOQ inventory policy $($Order quantity, Safety Stock, Reorder Point$)$ if all five retail outlets are jointly replenished? What is the average total cost per year? Table below gives the $($symmetric$)$ distance in miles between each pair of locations. Assume demands at retail outlets are independent of each other. $($Hint: To compute the least joint ordering cost, you need to first determine the best route the truck should use! $$ Use Cheapest insertion algorithm to find this route$)$

DC RO $1$ RO $2$ RO $3$ RO $4$ RO $5$

DC $280310200250340$

RO $1280210290260200$

RO $2310210380200320$

RO $3200290380300270$

RO $4250260200300250$

RO $5340200320270250$