Corner points of the feasible region for an LPP are $(0,2)(3,0),(6,0),(6,8) and (0,5)$.

Question

Let F=4x+6y be the objective function . The minimum value of F occurs at

$$\begin{array}{1 1}(A)\;(0,2)\;only \\ (B)\;(3,0)\;only\\(C)\;the\;mid\;point\;of\;the\;line\;segment\;joining\;the\;points\;(0,2) \;and\;(3,0)\;only\\(D)\;any\;point\;on\;the\;line\;segment\;joining\;the\;points\;(0,2) \;and\;(3,0)\end{array}$$