Solve the given standard minimization problem using duality. (You may already have seen some of these in earlier sections, but now you will be solving them using a different method.) HINT [See Example 1.] Minimize  c = s + 2t  subject to 4s + t  ≥  270 2s + t  ≥  190 s + 3t  ≥  330 s ≥ 0, t  ≥  0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3BEXP
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Solve the given standard minimization problem using duality. (You may already have seen some of these in earlier sections, but now you will be solving them using a different method.) HINT [See Example 1.]
Minimize 
c = s + 2t
 subject to
4s + t  ≥  270
2s + t  ≥  190
s + 3t  ≥  330
s ≥ 0, t  ≥  0.
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