$1.$ Suppose we have $6$ regional warehouses and $12$ demand points and no intermediary DC$.$ The per unit costs to ship from each supplier to each demand point as well as monthly warehouse capacity and monthly demand at each demand point is provided:

From$/$To DP$1$ DP$2$ DP$3$ DP$4$ DP$5$ DP$6$ DP$7$ DP$8$ DP$9$ DP$10$ DP$11$ DP$12$ Capacity

WH $189101268876109122000$

WH $2910778109679691500$

WH $3101255119105881061400$

WH $467699579116781500$

WH $5788610711895871800$

WH $61169876610107551600$

Demand $750860780800670740730820770890710760$