Center of Gravity Assignment & Homework Help Online
The center of gravity method is a method used to determine the location of a distribution center that will minimize transportation costs. The method treats shipping cost as linear function of the distance and the quantity shipped. However, that the quantity to be shipped to each destination is fixed. The coordinates of the center of gravity i.e. the location of the distribution center can be obtained by finding the weighted average of the x coordinate and the weighted average of the y coordinates with weight being the quantities to be shipped.
—X Σ XiQi / ΣQi
—Y Σ Yi Qi/ ΣQi
Where Qi= Quantity to be shipped to location i.
xi= x coordinate of destination i.
yi= y coordinate of destination i.
If the quantities shipped are equal, simple averages can be done with Qi terms.
Here is an illustration to show to determine the center of gravity as follows:
Destination (x,y) Quantity
A 3, 5 800
B 5, 1 900
C 6, 7 200
D 6, 4 100
The Center of gravity can be explained as follows:
—X Σ XiQi / ΣQi = 3(800) +5(900) +6(200) +8(100)/800+900+200+100 = 8900/2000 = 4.45
—Y ΣYi Qi/ ΣQi = 5(800) +1(900) +7(200) +4(100)/800 +900+200+100 = 6700/2000=33.35
This method is used to pick the site that is close to the center of gravity.
Want to know how to proceed?
Fill up the assignment help request form on the right or drop us an email at firstname.lastname@example.org. Feel free to contact our customer support on the company 24/7 Live chat or call us on 312-224-1615.
HelpWithAssignment provides timely help at affordable charges with detailed answers to your assignments, homework, research paper writing, research critique, case studies or term papers so that you get to understand your assignments better apart from having the answers. The team has helped a number of students pursuing education through regular and online universities, institutes or online Programs.