The corner points of the feasible region determined by the system of linear constraints are (0, 4), (4, 0), (5, 0), (5, 3), (3, 5), (0, 5). Let $Z=x-7y+80.$ The minimum value of Z occurs at :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (0, 5)
$Z(x,y)=x-7y+80$
Minimum occurs at $Z(0,5)$.
$Z(0,5)=0-7×5+80$
$=45$