Consider the following network optimization problem. There are two potential warehouse sites A and B. Warehouse A will have a capacity of 3,000 units and Warehouse B will have a capacity of 1,000 units. There are two customer sites K and M with an annual demand of 2,000 units at customer site K, and 1,500 units at customer site M. Assume that X(i,j) denotes the quantity shipped from warehouse i to customer j, and Y(i) is whether warehouse i is open (=1) or not (=0). You need to write a constraint that limits the total amount that can be shipped from each warehouse given the capacity of the warehouse. You also need to make sure that no shipments are allowed unless a warehouse is open. What expression should replace the "?" in the constraint below? X(A,K) X(A,M) ?

3000Y(A)

1000Y(B)

2000

3000