Question
Solve the following LPP by using graphical method.
Maximize : $Z =6 x+4 y$
Subject to $x \leq 2, x+y \leq 3,-2 x+y \leq 1, x \geq 0, y \geq 0$.
Maximize : $Z =6 x+4 y$
Subject to $x \leq 2, x+y \leq 3,-2 x+y \leq 1, x \geq 0, y \geq 0$.
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$\sqrt[3]{\frac{4 x-1}{(2 x+3)(5-2 x)^2}}$
and water is poured into it. If at any instant the water level rises at the rate of $\left(\frac{\pi}{A}\right) cm / sec$,
where A is the area of the water surface at that instant, show that the vessel will be full in 75 seconds.