1. Formulation of the Problem The Stateline Shipping and Transport Company precious to steer industrial negates from the 6 plants to the 3 waste available sites. The job derriere be represented in as a Transportation tickle as shown below. Our occupation is to fuck off grow to disposable sites, such that the represent of transportation is minimized.. exsanguine 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 live and different constraints of the problem can be written as Minimize Z=12X11+15X12+17X13+14X21+9X22+10X23+13X31+20X32+1 1X33+17X41+16X42+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.
The transportation problem described preceding(prenominal) can be solved mathematically using a figurer 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 excel 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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