A Company Wants to Locate a New Warehouse to Minimize

Essay

A company wants to locate a new warehouse to minimize the distance travelled by its delivery trucks. It has four stores and their coordinates are listed in the below.
$$\begin{array} { l c c } & \text { X-Coordinate } & \text {Y-Coordinate } \\ \hline \text { Store 1 } & 70 & 160 \\\text { Store 2 } & 60 & 90 \\\text { Store 3 } & 180 & 90 \\\text { Store 4 } & 150 & 120\end{array}$$ Formulate the objective function for this problem. Let X and Y represent the X, Y coordinates of the new warehouse.