A quality characteristic has a specification $($in cm$)$ of $0\mathrm{.}400\mathrm{.}03.$ If the value of the quality characteristic exceeds $0\mathrm{.}40$ by the tolerance of $0\mathrm{.}030$ on either side, the product will require a $$180\mathrm{.}00$ repair. In the given scenario, the Taguchi loss function is correctly represented by which of the following equations?

Question $13$ options:

L$($x$)=200($x $0\mathrm{.}03)2$

L$($x$)=2,000($x $0\mathrm{.}43)2$

L$($x$)=200,00($x $0\mathrm{.}37)2$

L$($x$)=200,000($x $0\mathrm{.}40)2$