Patel, Vidhi_OIM 310 HW 7 copy.docx - Vidhi Patel GOOGLE...

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Vidhi PatelGOOGLEProblem 1(Please zoom into all pics if needed)A.SupplyDemand
B.6 decision variables:x11,x12,x13,x21,x22,x23*Variable decision:xyz = amount of x units shipped from supply node y to demand node zx11, x12, x13 = Units shipped from Southern to Hamilton, Butler and Clermont respectivelyx21, x22, x23 = Units shipped from Northwest to Hamilton, Butler and Clermont respectively*Objective Function:Min 10x11 + 20x12 + 15x13 + 12x21 + 15x22 + 18x23*Constraints:Supplyx11 + x12 + x13 <= 500x21 + x22 + x23 <= 400Demandx11 + x21 = 400x12 + x22 = 200x13 + x23 = 300non-negativity constrains: x11,x12,x13,x21,x22,x23 >= 0;C. The optimal mix is: (Zoom in if needed)Optimal Mix (distribution plan) is, therefore:200 units from Southern Gas to Hamilton (cost $2000)300 units from Southern Gas to Clermont (cost $4500)
(none from Southern Gas to Butler)200 units from Northwest Gas to Hamilton (cost $2400)200 units from Northwest Gas to Butler (cost $3000)(none from Northwest Gas to Clermont)The total optimal distribution cost is $11900.00D.If Butler increases demand by 100 then the demand would change from 200 to 300:Newx12+x22=300

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Term
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Supply And Demand, optimal mix, Northwest Gas, Hamilton Ohio, amount of x units

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