We have a primal and its corresponding dual. The primal is in standard form and its right hand side on all the constraints is positive. The dual is infeasable. What can you say about the primal? Explain.

College Algebra (MindTap Course List)
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Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Could you please help me to solve those 2 questions? The first one should be talking something in general, about the theory, not solve a specific question or LLP.

 

We have a primal and its corresponding dual. The primal is in standard form and its right hand side
on all the constraints is positive. The dual is infeasable. What can you say about the primal? Explain.
Transcribed Image Text:We have a primal and its corresponding dual. The primal is in standard form and its right hand side on all the constraints is positive. The dual is infeasable. What can you say about the primal? Explain.
Consider the following LPP.
mar 3r1 + 2.r2
s.t. 11 + 12 < 2
211 – 12 < 3
I1, 12 > 0
Suppose the z-line optimal simplex table of this problem is z + 7/3w, + 1/3w, =?. Find the optimal
value for the problem without solving it or its dual. Show your work.
Transcribed Image Text:Consider the following LPP. mar 3r1 + 2.r2 s.t. 11 + 12 < 2 211 – 12 < 3 I1, 12 > 0 Suppose the z-line optimal simplex table of this problem is z + 7/3w, + 1/3w, =?. Find the optimal value for the problem without solving it or its dual. Show your work.
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