A weight $W$ is supported at $A$ by bars $AB$ and $AD$ and by cable $AC.$ Bars $AB$ and $AD$ are parallel to the $y$ and $x$ axes,

respectively.

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

The cable can support a maximum force of $2$ kN $,$ and bars $AB$ and $AD$ can support maximum compressive forces of $1\mathrm{.}02$

kN and $3\mathrm{.}02$ kN $,$ respectively.

Determine the largest weight $W$ that may be supported. $($Round the final answer to the nearest whole number.$)$

The largest weight $W$ that may be supported is

N$.$