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Below is an essay on "Stateline" from Anti Essays, your source for research papers, essays, and term paper examples.

Stateline Shipping and Transport Company

Stateline Shipping and Transport Company
Transportation Model for Shipping Waste from Six Plants to Three Disposal Sites
The cost of shipping each barrel of waste from each plant to each disposal site is shown in the table below calculated in US dollars:
| Waste Disposal Sites |
Plants | Whitewater | Los Canos | Duras |
Kingsport | 12 | 15 | 17 |
Danville | 14 | 9 | 10 |
Macon | 13 | 20 | 11 |
Selma | 17 | 16 | 19 |
Columbus | 7 | 14 | 12 |
Allentown | 22 | 16 | 18 |

Using the objective function the model for shipping is:
Minimize Z = 1a(12) + 1b(15) + 1c(17) + 2a(14) + 2b9 + 2c(10) + 3a(13) + 3b(20) + 3c(11) + 4a(17) + 4b(16) + 4c(19) + 5a(7) + 5b(14) + 5c(12) + 6a(22) + 6b(16) + 6c(18)
The constraints are:
1a + 1b + 1c = 35
2a + 2b + 2c = 26
3a + 3b + 3c = 42
4a + 4b + 4c = 53
5a + 5b + 5c = 29
6a + 6b + 6c = 38
There are three waste disposal sites capable of handling the waste materials in this case; however they have their limitations and maximum capacities as shown in the following table.
Waste Disposal Site | Max Number Barrels/Week |
Whitewater | 65 |
Los Canos | 80 |
Duras | 105 |

This data is utilized in the model to reflect the capacity of the waste disposal sites with the assumption that all figures are to be greater than or equal to zero for the sake of this model:
1a + 2a + 3a + 4a + 5a + 6a = 65
1b + 2b + 3b + 4b + 5b + 6b = 80
1c + 2c + 3c + 4c + 5c + 6c = 105
Solving the model through the use of Excel the following solutions were determined that detail how many barrels could be delivered from each plant directly to the respective waste disposal site.   This direct transportation method gave the following results:
Originating Plant | Waste Disposal Site | Number of Barrels |
Kingsport | Whitewater | 35 |
Danville | Duras | 26 |
Macon | Duras | 42 |
Selma | Whitewater | 1 |
Selma | Los Canos | 52 |
Columbus | Whitewater | 29 |
Allentown | Los...

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Stateline. Anti Essays. Retrieved December 16, 2018, from the World Wide Web: http://parimatchstavki7.com/free-essays/Stateline-634042.html