The minimum feature size required to be created is $125\mathrm{.}0$ nm$.$ If the photolithography system has numerical aperture $0\mathrm{.}84,$ which of the following options represents the most cost$-$effective light source that is capable of achieving the minimum feature size?. Assume that all three options have the same working lifetime.

Option $1$: $308\mathrm{.}0$ nm light; $3200.$

Option $2$: $248\mathrm{.}0$ nm light, $5500.$

Option $3$: $193\mathrm{.}0$ nm light, $9000.$