Consider the coverage-based hierarchical facility location model [formulation (8.40)–(8.46)]. Reformulate this model to include facility capacities. Clearly define all new notation (sets, inputs, and...

Consider the coverage-based hierarchical facility location model [formulation (8.40)–(8.46)]. Reformulate this model to include facility capacities. Clearly define all new notation (sets, inputs, and decision variables) that you use. As always, clearly state the objective function and constraints in both words and notation.