Corners points of the feasible region for an LPP, are (0, 2), (3, 0), (6,0) and (6, 8). If $z= 2x+3y$ is the objective function of LPP then max. (z) - min.(z) is equal to :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 30
$Z_{(0,2)}=2×0+3×2=6$
$Z_{(3,0)}=2×3+3×0=6$
$Z_{(6,0)}=2×6+3×0=12$
$Z_{(6,3)}=2×6+3×8=36$
$∴Z_{max}-Z_{min}=36-6=30$