Consider the following linear programs: zI = min cx zII = min cx zIII = min cx + gy s.t. Ax £ b s.
Question: Consider the following linear programs:
zI = min cx zII = min cx zIII = min cx + gy
s.t. Ax £ b s.t. Ax £ b s.t. Ax + Gy £ b
x ³ 0 Dx £ d Dx £ d
x ³ 0 x, y ³ 0
Can you make any statements regarding the optimal objective function values of the problems above as zIII £ zI or zI ³ zII?
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Solution Format: Word Document![](/images/msword.png)
Solution Format: Word Document
![](/images/msword.png)