The world’s Largest Sharp Brain Virtual Experts Marketplace Just a click Away
Levels Tought:
Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The Heartland Distribution Company is a food warehouse and distributor that has a contract with a grocery store chain in several Midwest and Southeast cities. The company wants to construct new warehouses/distribution centers in some of the cities it services to serve the stores in those cities plus all the other stores in the other cities that don’t have distribution centers. A distribu- tion center can effectively service all stores within a 300-mile radius. The company also wants to limit its fixed annual costs to under $900,000. The company wants to build the minimum number of distribution centers possible.
The following table shows the cities within 300 miles of every city and the projected fixed an- nual charge for a distribution center in each city:

Annual Fixed Charge
City ($1,000s) Cities Within 300 Miles
|
1. Atlanta |
$276 |
Atlanta, Charlotte, Nashville |
|
2. Charlotte |
253 |
Atlanta, Charlotte, Richmond |
|
3. Cincinnati |
394 |
Cincinnati, Cleveland, Indianapolis, |
| Â | Â |
Louisville, Nashville, Pittsburgh |
|
4. Cleveland |
408 |
Cincinnati, Cleveland, Indianapolis, Pittsburgh |
|
5. Indianapolis |
282 |
Cincinnati, Cleveland, Indianapolis, Louisville, |
| Â | Â |
Nashville, St. Louis |
|
6. Louisville |
365 |
Cincinnati, Indianapolis, Louisville, |
| Â | Â |
Nashville, St. Louis |
|
7. Nashville |
268 |
Atlanta, Cincinnati, Indianapolis, Louisville, |
| Â | Â |
Nashville, St. Louis |
|
8. Pittsburgh |
323 |
Cincinnati, Cleveland, Pittsburgh, Richmond |
|
9. Richmond |
385 |
Charlotte, Pittsburgh, Richmond |
|
10. St. Louis |
298 |
Indianapolis, Louisville, Nashville, St. Louis |
Formulate an integer programming model for this problem and solve it by using the computer.
What is the solution if the cost constraint is removed from the original model formulation? What is the difference in cost?
Hel-----------lo -----------Sir-----------/Ma-----------dam-----------Tha-----------nk -----------You----------- fo-----------r u-----------sin-----------g o-----------ur -----------web-----------sit-----------e a-----------nd -----------and----------- ac-----------qui-----------sit-----------ion----------- of----------- my----------- po-----------ste-----------d s-----------olu-----------tio-----------n.P-----------lea-----------se -----------pin-----------g m-----------e o-----------n c-----------hat----------- I -----------am -----------onl-----------ine----------- or----------- in-----------box----------- me----------- a -----------mes-----------sag-----------e I----------- wi-----------ll