The demand function for a particular vacation package is $\backslash ($ p$($x$)=3,500-43\backslash$sqrt$\{$x$\}\backslash ).$ Find the consumer surplus $($in dollars$)$ when the sales level for the packages is $400.$ Illustrate by drawing the demand curve and identifying the consumer surplus as an area. $($Round your answer to the nearest cent.$)$

$\backslash$$