For the following LP: max 12x, + 9x? XI <1000 S1 500 <1750 S4800 s.t. X2 Xi+x2 4x1 + 2x? X1, X2 20 The optimal solution and optimal value for the LP is x* = (650, 1100) and 17700, respectively. Please refer to the graph below and (a) calculate the shadow prices for all four main constraints; (b) draw a graph that shows how the optimal value changes as the coefficient of x, in the objective function changes from 0 to o. X2 → x,20 3000 x,51000 2000 x* 1000 1500كږX X,20 1000 2000 4x, + 2x, 54800 x, + x,s1750

For the following LP: max 12x, + 9x? XI <1000 S1 500 <1750 S4800 s.t. X2 Xi+x2 4x1 + 2x? X1, X2 20 The optimal solution and optimal value for the LP is x* = (650, 1100) and 17700, respectively. Please refer to the graph below and (a) calculate the shadow prices for all four main constraints; (b) draw a graph that shows how the optimal value changes as the coefficient of x, in the objective function changes from 0 to o. X2 → x,20 3000 x,51000 2000 x* 1000 1500كږX X,20 1000 2000 4x, + 2x, 54800 x, + x,s1750

Name: For the following LP:12xi + 9x2max< 1000s.t.XI<1500<1750< 4800X2X +x2
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Description: For the following LP:12xi + 9x2max< 1000s.t.XI<1500<1750< 4800X2X +x24x1 + 2x2X1, X220The optimal solution and optimal value for the LP is x* = (650, 1100) and 17700, respectively.Please refer to the graph below and (a) calculate the shadow prices f

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Topic Video

Question

For the following LP:
12xi + 9x2
max
< 1000
s.t.
XI
<1500
<1750
< 4800
X2
X +x2
4x1 + 2x2
X1, X220
The optimal solution and optimal value for the LP is x* = (650, 1100) and 17700, respectively.
Please refer to the graph below and (a) calculate the shadow prices for all four main constraints;
(b) draw a graph that shows how the optimal value changes as the coefficient of xị in the
objective function changes from 0 to o.
X2
► x,20
3000
x,$1000
2000
x*
1000
X,$1500
X,20
→x,
1000
2000
4x, + 2x, <4800 х,+x,$1750

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