Consider the following LP: marz = 5x1 + x2 + 2r3 s.t. I1 +12 + 13 <6 6x1 + +x3 < 8 x2 +13 < 2 I1,L2, L3 2 0 Given its optimal tableau as 81 82 RHS 83 1 0 9 3 6. 0 1 0 0 1 1 1 2 Part a) Write vectors/matrices rBy,INBV,CBV,©NBV,B, B-!,N,b. Part b) Find the range of values of bị for which the current basis still remains optimal. Part c) Find the range of values of bz for which the current basis still remains optimal. 0100

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 2P
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Consider the following LP:
521 + x2 + 2x3
s.t. x1 + x2 + x3 < 6
maxz
%3D
6x1 + +x3 < 8
x2 + x3 < 2
X1, 22, 23 > 0
Given its optimal tableau as
82
83
RHS
1
9.
6.
6,
1
6
1
1
1
6
1
1
1
Part a) Write vectors/matrices rBy,INBV, CBV, CNBV, B, B-!, N,b.
Part b) Find the range of values of bị for which the current basis still remains
optimal.
Part c) Find the range of values of b2 for which the current basis still remains
optimal.
Part d) Find the optimal solution and optimal z-value if b2 = 12.
Transcribed Image Text:Consider the following LP: 521 + x2 + 2x3 s.t. x1 + x2 + x3 < 6 maxz %3D 6x1 + +x3 < 8 x2 + x3 < 2 X1, 22, 23 > 0 Given its optimal tableau as 82 83 RHS 1 9. 6. 6, 1 6 1 1 1 6 1 1 1 Part a) Write vectors/matrices rBy,INBV, CBV, CNBV, B, B-!, N,b. Part b) Find the range of values of bị for which the current basis still remains optimal. Part c) Find the range of values of b2 for which the current basis still remains optimal. Part d) Find the optimal solution and optimal z-value if b2 = 12.
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