[Solution] Consider the following linear programs: z I = min cx z II = min cx z III = min cx + g y s.t. Ax b s.t. Ax b s.t. Ax + Gy b x 0 Dx d Dx d x 0
Question: Consider the following linear programs:
z I = min cx z II = min cx z III = min cx + g y
s.t. Ax b s.t. Ax b s.t. Ax + Gy b
x 0 Dx d Dx d
x 0 x , y 0
Can you make any statements regarding the optimal objective function values of the problems above as z III z I or z I z II ?
Deliverable: Word Document 
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