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Question

# Maximize Z=14x+21y subject to\begin{aligned} 2 x+3 y & \leq 12 \\ x+5 y & \leq 8 \\ x, y & \geq 0 \end{aligned}

Solution

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Step 1
1 of 6

{ Graph the feasible set.

} Graph the line $2x+3y=12$,      using $(0,4)$ and $(6, 0)$.

The coordinates of the origin satisfy the inequality $2x+3y\leq 12$,

so we shadow the half-plane that does not contain the origin.

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