## Related questions with answers

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

VerifiedAnswered 2 years ago

Answered 2 years ago

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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