Assignment:
Customers are located at (0, 0), (6, 0), and (10, 5) with weights 4, 7, and 2, respectively.
(a) Calculate the center-of-gravity, i.e., the optimal solution of the minisum location problem with squared Euclidean distances.
(b) Start with an initial guess of (1, 1) and perform one iteration with Weiszfeld’s method to determine the 1-median.
Provide complete and step by step solution for the question and show calculations and use formulas.