dij = Sets 1: candidate (potential) facility locations J: where customers are (users) Decision variables: y; = { $1 if locate at i el lo otherwise Parameters T: time limit tiji time to travel between candidate facility i E I and customer ; EJ \1 if tij ST lo otherwise (ifj E J would be covered by facility i E I) fi: fixed cost of locating facility i Er Formulation min Ziel fiyi s.t. Eier QijYi 2 1, Vj EJ Yi E{0,1}, Vi er Data: I = {1,2} J = {Clemson, Central, Seneca} T = 50 540 35 701 tij 160 44 7 fi = (200) a) Report the matrix of values, aij b) Write the objective function in non-set notation (i.e., use V symbols and the data given above) c) Write the 3 constraints corresponding to Ziel dijYi 1, Vj E J in non-set notation d) Write the 2 domain constraints in non-set notation. e) Describe how the coverage constraints (used in question 3c) make sure that at least one facility is within a threshold of every customer j EJ f) Report the style of objective function and constraints that include we should use a location-covering model. = = = =