A quality characteristic has a specification $($in inches$)$ of $0\mathrm{.}200\backslash$pm $0\mathrm{.}020.$ If the value of the quality

characteristic exceeds $0\mathrm{.}200$ by the tolerance of $0\mathrm{.}020$ on either side, the product will require a repair of

$$150.$ Develop the appropriate Taguchi loss function. $($Hint: find the constant k in the Tagulchi function$)$