Question

Use graphical methods to solve this linear programming problem. Minimize $z = 5x + 4y$ subject to: $x - y \ge 7$ $5x + 3y \ge 75$ $x \ge 0, y \ge 0$

Name: use graphical methods to solve this linear programming problem minimize z 5x 4y subject to x y ge 7 5x 3y ge 75 x ge 0 y ge 0 33353
Uploaded: 2023-12-03T02:27:42-08:00
Duration: 2 min 12 s
Channel: Supreeta N
Description: use graphical methods to solve this linear programming problem minimize z 5x 4y subject to x y ge 7 5x 3y ge 75 x ge 0 y ge 0 33353

          Use graphical methods to solve this linear programming problem.
Minimize  $z = 5x + 4y$
subject to:
$x - y \ge 7$
$5x + 3y \ge 75$
$x \ge 0, y \ge 0$

Added by Rafael T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

12/03/2023

Step 1

$x - y \ge 7$ can be rewritten as $y \le x - 7$. The boundary line is $y = x - 7$. Since it's $\ge$, we shade below the line. $5x + 3y \ge 75$ can be rewritten as $y \ge -\frac{5}{3}x + 25$. The boundary line is $y = -\frac{5}{3}x + 25$. Since it's $\ge$, we Show more…

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