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Light emitting diode $($LEDs$)$ light bulbs have become required in recent years, but do they make financial sense? Suppose a typical $60-$watt incandescent light bulb costs $\backslash (\backslash$$ $\mathrm{.}38\backslash )$ and lasts for $1,000$ hours. A $15-$watt LED, which provides the same light, costs $\backslash (\backslash$$ $3\mathrm{.}05\backslash )$ and lasts for $12,000$ hours. A kilowatt hour of electricity costs $\backslash (\backslash$$ $\mathrm{.}114\backslash ).$ A kilowatt$-$hour is $1,000$ watts for $1$ hour. However, electricity costs actually vary quite a bit depending on location and user type. An industrial user in West Virginia might pay $\backslash$$$.04$ per kilowatt$-$hour whereas a residential user in Hawaii might pay $\backslash$$$\mathrm{.}25.$ You require a return of $9$ percent and use a light fixture $500$ hours per year.

What is the break$-$even cost per kilowatt$-$hour?

Note: Do not round intermediate calculations and round your answer to $6$ decimal places, e$.$g$.,32\mathrm{.}161616.$