Question

Minimize $z = 5x + y$ Subject to $y + 4x \ge 8$ $5y + 2x \ge 16$ $2y + 2x \ge 10$ $x \ge 0$ $y \ge 0$ Minimum is $x = $ $y = $ at

Name: minimize z 5x y subject to y 4x ge 8 5y 2x ge 16 2y 2x ge 10 x ge 0 y ge 0 minimum is x y at 38836
Uploaded: 2024-05-07T10:51:56-08:00
Duration: 4 min 42 s
Channel: Adi S
Description: minimize z 5x y subject to y 4x ge 8 5y 2x ge 16 2y 2x ge 10 x ge 0 y ge 0 minimum is x y at 38836

          Minimize $z = 5x + y$
Subject to
$y + 4x \ge 8$
$5y + 2x \ge 16$
$2y + 2x \ge 10$
$x \ge 0$
$y \ge 0$
Minimum is
$x = $
$y = $
at

Added by Angela H.

Elementary and Intermediate Algebra

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

Instant Answer

Solved by Expert Adi S

05/07/2024

Step 1

The inequalities are: $y + 4x \ge 8$ $5y + 2x \ge 16$ $2y + 2x \ge 10$ $x \ge 0$ $y \ge 0$ First, let's rewrite the inequalities in slope-intercept form ($y = mx + b$): $y \ge -4x + 8$ $5y \ge -2x + 16 \implies y \ge -\frac{2}{5}x + \frac{16}{5}$ $2y \ge -2x + 10 Show more…

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