please do not just copy paste from another answer. And solve using LINGO. thanks

4. (15 marks) A company wishes to open a cinema complex, and needs to determine its location. There are five neighbourhoods nearby from which patrons might come. The location of each neighbourhood is described by distances in metres east and north of a standard point. The potential business from a neighbourhood varies lin- early with its population, but is inversely proportional to the Euclidean distance between the neighbourhood and the cinema complex. The cinema complex must be at least 500 metres away from each neighbourhood. The total potential business is the sum of the potential from each of the five neighbourhoods. The population and location of the neighbourhoods are as follows: Neighbourhood Population 1 5000 2 8000 3 9500 4 2300 5 7400 Location (1200, 6000) (5000, 1300) (3400, 8700) (7900, 3650) (4500, 6100) Solve for the optimal location of the cinema complex in LINGO or the Excel Solver