Question:medium
Consider the Linear Programming Problem: Maximize $Z=x+2y$ Subject to $2x+3y\le12, x\ge0, y\ge0$. The optimal value is}
\textit{Note: A stray '0.' from the original document has been removed for clarity.
Consider the Linear Programming Problem: Maximize $Z=x+2y$ Subject to $2x+3y\le12, x\ge0, y\ge0$. The optimal value is}
\textit{Note: A stray '0.' from the original document has been removed for clarity.
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Logic Tip: You can also compare the slope of the objective function line ($m_Z = -1/2$) to the slope of the constraint line ($m_c = -2/3$). Because the objective function is steeper relative to the y-axis ($1/2<2/3$ when viewing positive magnitudes), the maximum will lie on the y-intercept.
Updated On: Apr 27, 2026
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The Correct Option is C
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