You are given the final simplex tableau for the dual problem. Problem:   Minimize C = 4x + 3y       subject to   5x  +  y  ≥  10     2x  +  2y  ≥  12     x  +  4y  ≥  12     x ≥ 0, y ≥ 0   Final tableau: u  v   w   x    y  P Constant 1  0 −  3 4 1 4 −  1 4  0 1 4 0  1 19 8 −  1 8 5 8  0   11 8 0  0   9    1  5 1 19 Give the solution to the primal problem. The minimum is C =  at  (x, y) =              . Give the solution to the associated dual problem. The maximum is P =  at  (u, v, w) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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You are given the final simplex tableau for the dual problem.

Problem:   Minimize C = 4x + 3y    
  subject to   5x  +  y  ≥  10
    2x  +  2y  ≥  12
    x  +  4y  ≥  12
    x ≥ 0, y ≥ 0  

Final tableau:
u  v   w   x    y  P Constant
0
− 
3
4
1
4
− 
1
4
 
0
1
4
1
19
8
− 
1
8
5
8
 
0
 
11
8
0   9    1  5 1 19

Give the solution to the primal problem.

The minimum is C =  at 
(x, y) = 
 
 
 
 
 
 
 
.


Give the solution to the associated dual problem.

The maximum is P =  at 
(u, v, w) = 
 
 
 
 
 
 
 
.

 

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