Problem I $(10$ Points$)$

The Dynaco Manufacturing Company is going to build a new plant to manufacture ring bearings $($used in automobiles and trucks$).$ Since this is a manufacturing site, the company's objective is to be as close as possible to its suppliers. The table below show the coordinates of the $4$ main supplier the Dynaco has business with as well as the volume of operations with each one of them.

A$.$ Using the center of gravity method, determine the best location $(5$P$).$

Unfortunately, the site resulting from question A is not feasible because it falls inside the city. The company is now evaluating $3$ alternative sites that are close by$.$ The site selection team is evaluating these three sites, based on multiple decision dimensions as demonstrated in the table below.

B$.$ Which location is the most appropriate for Dynaco Manufacturing Company? Use the table below to show your results $(5$P$)$