question_answer

Corner points of the feasible region for an LPP are \[\left( \mathbf{0},\mathbf{2} \right),\left( \mathbf{3},\mathbf{0} \right),\left( \mathbf{6},\mathbf{0} \right),\left( \mathbf{6},\mathbf{8} \right)\] and\[\left( \mathbf{0},\mathbf{5} \right)\]. If \[\mathbf{F}=\mathbf{4x}+\mathbf{6y}\]be the objective function, then minimum value of F occurs at

A)  \[\left( 0,2 \right)\]only

B)  \[\left( 3,0 \right)\]only

C)  the mid point of the line segment joining the points \[\left( 0,2 \right)\] and \[\left( 3,0 \right)\] only

D)  any point on the line segment joining the points \[\left( 0,2 \right)\] and \[\left( 3,0 \right)\]