If $z_0$ and $z_1 $ are respectively the minimum and the maximum values of $z=-3x+4y$ over the feasible region represented by constraints
$x+2y≤8$
$3x+2y≤ 12 $
$x≥ 0, y ≥ 0$
then $z_1+z_0$ is equal to :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → -6
$Z_1=Z_{max}(2,3)=-3×2+4×3=6$
$Z_0=Z_{min}(4,0)=-3×4+4×0=-12$
$Z_0+Z_1=-6$