The maximum value of Z for the linear Programming problem maximum $Z=2 x+y$ subject to the constraints $x+y \leq 2, x \geq 0, y \geq 0$ is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) - 4
$Z=2 x+y$
$x+y \leq 2, x,y \geq 0$
| corner points | value of Z |
| $A(0,0)$ | $Z_A=0$ |
| $B(0,2)$ | $Z_B=2$ |
| $C(2,0)$ | $Z_C=4$ → max value |