Consider the following optimization problem

$ma{x}_{x,y}2x+3y$

subjects to

$0x6$

$0y4$

$xy$

following procedure: $$

Start with $x=0,y=0$;

Note that the objective function motonotically increases with $x$ and $y.$ Let's increase $x$ first to its upper limit of $6,$ is the current solution $($not optimal yet$)$ feasible? Why? $(5$ pts$)$

Now let's go back to $x=0,y=0,$ and increase $y$ to it's upper limit of $4,$ is the the current solution feasible? $(5$ pts$)$

Now increase $x$ until it reached a constraint limit$,$ now both your $x$ and $y$ is at their upper bounds. Write down your final solution. $(5$ pts$)$