Some entrepreneurs wish to establish a restaurant in a central location so that it will serve three suburbs. On a rectangular grid with axes labelled X1 (horizontal) and X2 (vertical), the centres of the three suburbs are located at (1,2, (6,18), and (12,8). All roads run east-west (parallel with the X1 axis) or north-south (parallel with the X2 axis). The distance between any two points is therefore rectilinear. For example, the distance between the centres of suburbs 2 and 3 is |12- 6| + | 8-18|= 6 +10 =16. Required:
a. Formulate the restaurant location problem as a goal programming model.
b. Use the Excel Solver to determine the best location for the restaurant.