Mathematics

Mathematics

Problem

Consider the system of inequalities x+2y≤8x+2y\le8,\; 3x+y≤93x+y\le9,\; x≥0x\ge0,\; y≥0y\ge0. Suppose the first inequality is replaced by x+2y≥8x+2y\ge8 while the remaining three stay the same. Without plotting, decide whether the new feasible region is still bounded. Answer "Yes" or "No" and justify briefly.

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