L$.$P$.$ Model:

Maximize

$Z=2x+2Y$

$1x+2Y8$

$5x+2Y20$

$x,Y0$

Subject to:

$(C_1)$

$(C_2)$

On the graph on right, the constraints $C_1$ and $C_2$ have been plotted.

Using the point drawing tool, plot the four corner points for the feasible area.

The optimum solution is:

$x=(round$ your response $to$ two decimal places$).$

$Y={?}_{\text{r}\text{o}\text{u}\text{n}\text{d}\text{y}\text{o}\text{u}\text{r}\text{r}\text{e}\text{s}\text{p}\text{o}\text{n}\text{s}\text{e}\text{t}\text{o}\text{t}\text{w}\text{o}\text{d}\text{e}\text{c}\text{i}\text{m}\text{a}\text{l}\text{p}\text{l}\text{a}\text{c}\text{e}\text{s}}.$

Optimal solution value $Z=,($round your response to two decimal places$).$