Question

1. The table below provides the grid coordinates and the estimated demand for a set of cities that your company wishes to connect through a centrally located distribution center. Where would you locate the new facility?

   Candidate	Grid Coordinates	Grid Coordinates	Estimated
   City	(X)	(Y)	Demand
   A	70	30	200
   B	20	40	300
   C	40	60	50

   Determine the approximate coordinates of the distribution center.

   86; 56 40; 38 91; 84 37; 43 76; 46

Answer 1

Based on the given data, we find the X and Y coordinate of the location of the distribution center using Center of gravity method as shown below:

The above solution in the form of formulas is shown below for better understanding and reference:

As seen from above,

Answer = 40, 38

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