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phase3_ie341project

# phase3_ie341project - IE 341 Project Phase III With the...

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IE 341 Project Phase III With the change in exchange rate from a \$1 = ¥1 to \$1 = ¥2, the optimal production quantities and number of employees per facility become the following: The following LINGO code was developed and used to find the optimal production quantities and number of employees for the three production plants: MAX = 120000*P - 120*P*P-(((150+DS)*Q1+.1*Q1*Q1+150*D_Train+300*D_Truck)+ ((145+DS)*Q2+.08*Q2*Q2+275*S_Train+550*S_Truck) +(560*Q3+.025*Q3*Q3)+T*(320*Q3+.05*Q3*Q3)); ! S_Train = Sheldon_Train D_Train = Decorah_Train S_Truck = Sheldon_Truck D_Truck = Decorah_Truck; DS = 200; T = 0; !Shipping Constraints; D_Truck + D_Train = Q1; S_Truck + S_Train =Q2; S_Train <= 1200; D_Train <= 800; !Demand Constraints; Q1+ Q2+ Q3 = D; 120000 - 120 * P = D;

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IE 341 Project Phase III !Carbon Emmisions Constraints; 44 * S_Truck + 24 * D_Truck + 110 * S_Train + 150 * D_Train + 800 * Q3 = CF; CF >= 0; Q1 >= 0; Q2 >= 0; Q3 >= 0; S_Truck >= 0; D_Truck >= 0; S_Train >= 0; D_Train >= 0; P >= 0; LINGO Output : Objective value: 1890918. Infeasibilities: 0.000000 Total solver iterations: 15 Model Class: NLP Total variables: 10 Nonlinear variables: 4 Integer variables: 0 Total constraints: 17 Nonlinear constraints: 1 Total nonzeros: 37 Nonlinear nonzeros: 4 Variable Value Reduced Cost
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