In an LPP , if the objective function $Z=x+2y $ has minimum value at two corner points (6, 0) and (0, 3) of the feasible region, then number of points when Z has minimum value is :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → infinite
Any point on this segment can be represented as,
$(x,y)=λ(6,0)+(1-λ)(0,3)$
$x=6λ,y=3(1-λ)$ $0≤λ≤1$
⇒ Infinite number of points.