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.

 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: 
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