Consider the location of four distribution centers,A,B,C,and D,with the following location coordinates and shipping requirements per week. Management is considering locating a new plant at the site of one of the four distribution centers.What is the load-distance score if the plant is located at distribution center A? (Use rectilinear distance. )

Question

Consider the location of four distribution centers,A,B,C,and D,with the following location coordinates and shipping requirements per week.  Management is considering locating a new plant at the site of one of the four distribution centers.What is the load-distance score if the plant is located at distribution center A? (Use rectilinear distance. )

Quizplus · Accepted Answer

To calculate the load-distance score for location A, we need to multiply the weekly shipping requirements of each distribution center by its rectilinear distance from A and sum the products.

Load-Distance Score for A = (2000 x 0) + (3000 x 5) + (4500 x 4) + (5000 x 3) = 56000

Therefore, the load-distance score if the plant is located at distribution center A is 56000. As per the given options, this falls in the range of less than or equal to 4500, which is option A.

The best choice would be to locate the plant at distribution center A as it has the lowest load-distance score and is, therefore, the most optimal location to minimize transportation costs.

Consider the Location of Four Distribution Centers,A,B,C,and D,with the Following