Tre varianter av optimala prismodeller vid begränsade resurser
Peter Lohmander 2003-04-19

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! A model for optimal price determination;
! in a multi product company with limited;
! production capacitites;
! Lohmander Peter 2003-04-15;
! OptPr1.lng;

P1 = 100 - Q1;
P2 = 100 - Q2;


max = P1*Q1 + P2*Q2;

[M1] Q1+1*Q2 <= 50;

end


 Local optimal solution found at step:             11
 Objective value:                            3750.000

                       Variable           Value        Reduced Cost
                             P1        75.00000           0.0000000
                             Q1        25.00000           0.7978360E-07
                             P2        75.00000           0.0000000
                             Q2        25.00000           0.0000000

                            Row    Slack or Surplus      Dual Price
                              1       0.0000000            25.00000
                              2       0.0000000            25.00000
                              3        3750.000            1.000000
                             M1       0.0000000            50.00000

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! A model for optimal price determination;
! in a multi product company with limited;
! production capacitites;
! Lohmander Peter 2003-04-15;
! OptPr2.lng;

P1 = 100 - Q1;
P2 = 100 - Q2;

max = P1*Q1 + P2*Q2;

[M1] 2*Q1+1*Q2 <= 50;

end


 Local optimal solution found at step:              7
 Objective value:                            3000.000

                       Variable           Value        Reduced Cost
                             P1        90.00000           0.0000000
                             Q1        10.00000           0.2468606E-06
                             P2        70.00000           0.0000000
                             Q2        30.00000           0.0000000

                            Row    Slack or Surplus      Dual Price
                              1       0.0000000            10.00000
                              2       0.0000000            30.00000
                              3        3000.000            1.000000
                             M1       0.0000000            40.00000

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! A model for optimal price determination;
! in a multi product company with limited;
! production capacitites;
! Lohmander Peter 2003-04-15;
! OptPr3.lng;

P1 = 100 - 2*Q1;
P2 = 100 - Q2;


max = P1*Q1 + P2*Q2;

[M1] 1*Q1+1*Q2 <= 50;

end


 Local optimal solution found at step:              6
 Objective value:                            3333.333

                       Variable           Value        Reduced Cost
                             P1        66.66667           0.0000000
                             Q1        16.66667          -0.2467880E-05
                             P2        66.66667           0.0000000
                             Q2        33.33333           0.0000000

                            Row    Slack or Surplus      Dual Price
                              1       0.0000000            16.66667
                              2      -0.1421085E-13        33.33333
                              3        3333.333            1.000000
                             M1       0.0000000            33.33333

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