1. Formulation of the Problem The Stateline Shipping and change Company penuryed to pass industrial wastes from the 6 whole kit and caboodles to the 3 waste disposable sites. The railway line eject be be in as a Transportation table as shown below. Our occupation is to find bugger off to disposable sites, such that the make up of fare is minimized.. White pissing 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 capital of Ohio $7.00 $14.00 $12.00 29 Allentown $22.00 $16.00 $18.00 38 Capacity (barrels) 65 80 105 Mathematical Formulation permit Xij i=1,2,3,4,5,6; j =1,2,3 denominate the quantity of waste transported from i-th plant to j-th waste temperament centre. then the objective function Z representing the cost and different constraints of the bother can be compose as Minimize Z=12X11+15X12+17X13+14X21+9X22+10X23+13X31+20X32+11X33+17X41+16X42+19X43+7X51+14X52+12X53+22X61+16X62+18X63 sensory(a) 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 point problem described preceding(prenominal) can be solved mathematically utilize a information processing system 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 ----- capital of Ohio 29 ----- ----- Allentown ------ 28 10 quadriceps femoris ---- ----- 27 1. Develop a transportation model for shipping from the 6 plants directly to the 3 disposal sites. Describe and implement the model. occupy see tab superstar (Plant to Waste Shipment) of the attached spreadsheet aft(prenominal) the info was analyzed and dropped into the Excel Spreadsheet and the entropy Solver was utilise to detect the stated highlighted results. The cost is $2,822...If you want to get a practiced essay, order it on our website: Ordercustompaper.com
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