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 :

infinite

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.