Question

Solve the linear programming problems. Minimize and maximize $\quad z=25 x+50 y$ $\begin{aligned} \text { Subject to } & x+2 y \leq 120 \\ & x+y \geq 60 \\ & x-2 y \geq 0 \\ x, y & \geq 0 \end{aligned}$

          Solve the linear programming problems.
Minimize and maximize $\quad z=25 x+50 y$ $\begin{aligned} \text { Subject to } & x+2 y \leq 120 \\ & x+y \geq 60 \\ & x-2 y \geq 0 \\ x, y & \geq 0 \end{aligned}$

Added by Jenna P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Jerelyn Nevil

Step 1

Graph the constraints: The first constraint $x+2y\leq 120$ represents a line with intercepts $(0,60)$ and $(120,0)$. The second constraint $x+y\geq 60$ represents a line with intercepts $(0,60)$ and $(60,0)$. The third constraint $x-2y\geq 0$ represents a line Show more…

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Solve the linear programming problems. Minimize and maximize $\quad z=25 x+50 y$ $\begin{aligned} \text { Subject to } & x+2 y \leq 120 \\ & x+y \geq 60 \\ & x-2 y \geq 0 \\ x, y & \geq 0 \end{aligned}$