Question: Consider the facility location problem discussed in class. We are given a set 1 of potential facilities and a set 2 of demand (customer) points.

Consider the facility location problem discussed in class. We are given a set 1 of potential facilities and a set 2 of demand (customer) points. The capacity of potential facility 1 is units and the demand of customer 2 is units. The unit cost of shipping from potential facility 1 to demand point 2 is . The fixed operating cost of the potential facility 1 is . You are asked to modify the original formulation to take into account the following additional information:

(a) Potential facilities 1 and 2 cannot be opened simultaneously.

(b) The demand points 3 and 4 cannot have a common supplier

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