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Question 11 (20 points) Let's essume the following LP model Provide the optimal values of the decision variables 0X1 and X2) and the optimal value of the objective function. Show your work as much as you can or send a picture of your work if you nane to get partial points when your final answers are not Objective function: Mim x, + X Operational constraints: X1 10: Xi 2.0 NonMgativityconstraints:x,-x, 20 Question 12 (20 paines) Let's assume the following LP model Provide the opomal velues of the decisian variables 01and 2)and the opimal value of the abjecthve function Show your wwork as much as you can or send a picture of your work i you wan so ges partial poines when your final anvers are not Objective function: Max 4x +2x, Operational constraints: x + x, s 20, X, s 15 106:56 01の

Answer 1

Decision Variables X1 X2 Objective function Minimization 4 Constraints 8 АЗ 9 B3 10 10 10

1 Decision Variables 2 X1X2 4 Objective function 5Ц Minimization C) Constraints x: x: C) 10 0 10 10

e Reapply Outline What-lf Foreca ext to er Geography Solver Parameters Data Types Set Objective To: OMax By Changing aiable Cells: SAS6 Value Of: SAS3:SBS3 Subject to the Constraints: SAS SBSO SAS8:SAS9SCS8:SCS9 Add Change Delete Reset All Load/Save Make Unconstrained Variables Non-Negative Select a SolvingSimplex LP Method: Options Solving Method Select the GRG Nonlinear engine for Solver Problems that are smooth nonlinear. Select the LP Simplex engine for linear Solver Problems, and select the Evolutionary engine for Solver problems that are non-smooth. Help Solve Close

1 Decision Variables 2 X1 3 10 4 Objective function 5Ц Minimization 6 20 X2 10 Constraints 10 10 3 10 10 10

Q12)

Decision Variables X1 X2 Objective function Maximization 4 Constraints 8 A3+B3 9 B3 10 20 15 12

K21 1 Decision Variables 2 X1 X2 4 Objective function 5 Maximization C) Constraints C) 20 15 C) 10 12

Solver Parameters Set Objective To: O Max OMin alue Of By Changing aiable Cells: SAS6 SAS3:SBS3 Subject to the Constraints: SAS3:SBS30 SAS8:SAS9-SCS8:SCS9 Add Change Delete Reset All Load/Save Make Unconstrained Variables Non-Negative Select a SolvingSimplex LP Method: Options Solving Method Select the GRG Nonlinear engine for Solver Problems that are smooth nonlinear. Select the LP Simplex engine for linear Solver Problems, and select the Evolutionary engine for Solver problems that are non-smooth. Help Solve Close

1 Decision Variables X2 C) X1 20 4 Objective function 5 Maximization 6 80 a) Constraints 8 20 20 C) 15 10