A model for the surface area of some solid object is given by $S=0\mathrm{.}271w^{0\mathrm{.}527}{h}^{0\mathrm{.}837},$ where $w$ is the weight $($in pounds$),h$ is the height $($in inches$),$ and $S$ is measured in square feet. If the errors in measurements of $w$ and $h$ are at most $1\%,$ estimate the maximum error in the calculated surface area.

The estimate of the maximum error in $S$ is: $$