The following table represents the cost to ship from Distribution Center 1, 2, or 3 to Customer A, B, or C. The demand for customer A and customer C should be at least 200 and 400 respectively. Distribution center 2 should have at most 400 items.

Customer

DC	A	B	C	Supply
1	4	6	8	500
2	5	2	7	400
3	3	5	9	300
Demand	200	350	400

Part A; Develop a network representation of the distribution system. (10 points)

Part B; Develop a linear programming model for this problem. (10 points)