(Answered) : Part B Required Question 1 Towns Kent Corresponding X Y Coordinates Well Population Given Q28895069

ONLY PART B REQUIRED:

Question 1

The towns in Kent with their corresponding x and y coordinatesas well as their population are given overleaf. This data is alsoin an excel file that can be downloaded from Moodle under the name“Kent-Towns”.

(a) Using Excel Solver, or otherwise, establisha location in the plane, that minimises:

(i) the sum of distances to all Kent towns,

(ii) the sum of weighted distances to all Kent towns, withpopulations as weights,

(iii) the maximum distance to any Kent town, and

(iv) the maximum weighted distance to any Kent town.

(b) Assume from now on that facilities can onlybe established at the given towns, rather