Question

Maximize$z = 3x + 2y,$ subject to

$x + y \geq 1,y - 5x \leq 0,x - y \geq - 1,x + y \leq 6,x \leq 3$ and $x,y \geq 0$

• A. $x = 3$
• B. $y = 3$
• C. $z = 15$
• D. All the above

Answer 1

Answer: (D)

All the above

Answer 2

The shaded region represents the bounded region (3,3) satisfies, so $x = 3,y = 3$ and $z = 15$.