The maximum value of $\mathrm{z}=3 \mathrm{x}+4 \mathrm{y}$, subject to the constraints $\mathrm{x}+\mathrm{y} \leq 40, \mathrm{x}+2 \mathrm{y} \leq 60$ and $\mathrm{x}, \mathrm{y} \geq 0$ is

Corner points of the feasible region for an LPP are $(0,2),(3,0),(6,0),(6,8)$ and $(0,5)$. Let $Z=4 x+6 y$ be the objective function. The minimum value of $z$ occurs at

The shaded region in the figure given is the solution of which of the inequations?

The corner points of the feasible region of an LPP are $$(0,2),(3,0),(6,0),(6,8)$$ and $$(0,5)$$, then the minimum value of $$z=4 x+6 y$$ occurs at