Aalogistics Co. has just signed a contract to deliver products to three locations, and they are trying to decide where to put their new warehouse. The three delivery locations are Chicago, Kansas City, and Memphis. The two potential sites for the warehouse are Peoria and St. Louis. The x, y coordinates for the delivery locations and warehouses are as follows:

The total quantity to be delivered to each destination is: 400 to Chicago, 150 to Kansas City, and 100 to Memphis.
(a) Calculate the total load-distance value from each potential warehouse location.
(b) Where should the new warehouse be located?

Question

Aalogistics Co. has just signed a contract to deliver products to three locations, and they are trying to decide where to put their new warehouse. The three delivery locations are Chicago, Kansas City, and Memphis. The two potential sites for the warehouse are Peoria and St. Louis. The x, y coordinates for the delivery locations and warehouses are as follows:
  
The total quantity to be delivered to each destination is: 400 to Chicago, 150 to Kansas City, and 100 to Memphis.
(a) Calculate the total load-distance value from each potential warehouse location.
(b) Where should the new warehouse be located?

Quizplus · Accepted Answer

The Answer of Aalogistics Co. has just signed a contract to deliver products to three locations, and they are trying to decide where to put their new warehouse. The three delivery locations are Chicago, Kansas City, and Memphis. The two potential sites for the warehouse are Peoria and St. Louis. The x, y coordinates for the delivery locations and warehouses are as follows:
  
The total quantity to be delivered to each destination is: 400 to Chicago, 150 to Kansas City, and 100 to Memphis.
(a) Calculate the total load-distance value from each potential warehouse location.
(b) Where should the new warehouse be located?