A quality characteristic has a specification $($in inches$)$ of $0\mathrm{.}100+-0\mathrm{.}020.$ If the value of the quality characteristic exceeds $0\mathrm{.}100$ by the tolerance of $0\mathrm{.}020$ on either side, the product will require a repair of $$280.$ Develop the appropriate Taguchi loss function. Round your answer for the first field to the nearest whole number and the answer for th second field to three decimal places.

$=k(,{)}^2$

Calculate the $k$ value corresponding to the Taguchi loss function. Round your answer to the nearest whole number.

$k=$