Suppose all supplies and demands are integers in a transportation problem. Then theoptimal solution to the LP-relaxation of the transportation problem is always integral.TrueFalse

LP relaxation allows for fractional values in the solution, especially when using techniques like…

Answered: Suppose all supplies and demands are…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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Find the maximum and minimum values of the function f(x, y, z, t) = x + y + z +t subject to the constraint x² + y? + z? + t? 144. Maximum value is occuring at points (positive integer or "infinitely many"). Minimum value is occuring at points (positive integer or "infinitely many").
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Here is the original LP max z= 3xı + 2x2 2x1 + x2 < 100 < 80 < 40 s.t. xi + x2 and the optimal tableau: X2 S1 S2 83 rhs 1 1 1 180 1 -1 2 60 -1 1 1 20 1 1 -1 20 Use decimals with no extra zero's: 1. What is the allowable increase for constraint 2 2. What is the allowable decrease for constraint 2 3. What is allowable increase for BV coefficient c2 4. What is allowable decrease for c2 5. Will {x2,s3, x1} be BV for a bfs if b2 is changed to 90 Y/N
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Suppose all supplies and demands are integers in a transportation problem. Then the optimal solution to the LP-relaxation of the transportation problem is always integral. True False