For the LP max z = 41 8.t.. ti 201 €1 1 ≥ 0, -2 +xz +xz 201 +2:03 +*3 +23 urs <≤5 VI VI AL || <7 >6 4 X2, X3 write down the duality table and then answer the following questions about the dual: (1) how many decision variables are there? 1, with m (2) Fill in the subscripts for the y's that are each of 0; 0; and urs: (separate by commas) for > we have for and for urs ≤0 (3) the first constraint of the dual has which inequality sign? (a) ; (b); (c) = : enter a, b or c 0 (3) the second constraint of the dual has which inequality sign? (a) ≤; (b) ≥; (c) = : enter a, b or c

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For the LP
max z = 4x1
8.t..
#1
2x1
+xz
+xz
2xg
+2x3
+23
+3
urs
< 5
<7
> 6
= 4
#1 ≥ 0, #2, X3
write down the duality table and then answer the following questions about the
dual:
(1) how many decision variables are there? Y₁, Ym with m :
(2) Fill in the subscripts for the y's that are each of > 0; ≤ 0; and urs: (separate
by commas)
for> 0 we have for ≤0 and for urs
(3) the first constraint of the dual has which inequality sign?
(a) ≤; (b) ≥ ; (c) = : enter a, b or c;
(3) the second constraint of the dual has which inequality sign?
(a) ≤; (b) ≥ ; (c) = : enter a, b or c
Transcribed Image Text:For the LP max z = 4x1 8.t.. #1 2x1 +xz +xz 2xg +2x3 +23 +3 urs < 5 <7 > 6 = 4 #1 ≥ 0, #2, X3 write down the duality table and then answer the following questions about the dual: (1) how many decision variables are there? Y₁, Ym with m : (2) Fill in the subscripts for the y's that are each of > 0; ≤ 0; and urs: (separate by commas) for> 0 we have for ≤0 and for urs (3) the first constraint of the dual has which inequality sign? (a) ≤; (b) ≥ ; (c) = : enter a, b or c; (3) the second constraint of the dual has which inequality sign? (a) ≤; (b) ≥ ; (c) = : enter a, b or c
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