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Tuesday, January 21, 2014

Stateline

1. Formulation of the Problem The Stateline Shipping and Transport Company valued to steer industrial touts from the 6 plants to the 3 waste useable sites. The job stooge be represented in as a Transportation balkle as shown below. Our occupation is to queue grow to disposable sites, such that the comprise of transportation is minimized.. clear weewee Los Canos Duras Availability (bbl) Kingsport $12.00 $15.00 $17.00 35 Danville $14.00 $9.00 $10.00 26 macon $13.00 $20.00 $11.00 42 Selma $17.00 $16.00 $19.00 53 Columbus $7.00 $14.00 $12.00 29 Allentown $22.00 $16.00 $18.00 38 Capacity (barrels) 65 80 one hundred five Mathematical Formulation Let Xij i=1,2,3,4,5,6; j =1,2,3 denote the quantity of waste transported from i-th plant to j-th waste disposal centre. indeed the objective function Z representing the price and different constraints of the problem can be written as Minimize Z=12X11+15X12+17X13+14X21+9X22+10X23+13X31+20X32+11X33+17X41+16X4 2+19X43+7X51+14X52+12X53+22X61+16X62+18X63 receptive to X11+X12+X13 = 35 X21+X22+X23 = 26 X31+X32+X33 = 42 X41+X42+X43 = 53 X51+X52+X53 = 29 X61+X62+X63 = 38 X11+X21+X31+X41+X51+X61 65 X12+X22+X32+X42+X52+X62 80 X13+X23+X33+X43+X53+X63 105 Xij 0, i=1,2,3,4,5,6; j=1,2,3. 2.
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The transportation problem described preceding(prenominal) can be solved mathematically using a calculating machine package. The solution to the problem using excel problem convergent thinker are given in the following table. Whitewater Los Canos Duras Kingsport 35 ---- ----- Danville ---- ---- 26 Macon ----- ---- 42 Selma 1 52 ----- Columbus 29 ----! - ----- Allentown ------ 28 10 space ---- ----- 27 1. Develop a transportation model for shipping from the 6 plants directly to the 3 disposal sites. Describe and implement the model. recreate see tab one (Plant to Waste Shipment) of the attached spreadsheet aft(prenominal) the data was analyzed and dropped into the stand out Spreadsheet and the Data Solver was utilise to obtain the stated highlighted results. The cost is $2,822...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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