Radovilsky Manufacturing$$ Company, in$$ Hayward, California, makes flashing lights for toys. The company operates its production facility $300$ days per year. It has orders for about $12,100$ flashing lights per year and has the capability of producing $95$ per day. Setting up the light production costs $$$$52.$ The cost of each light is $$$$1\mathrm{.}00.$ The holding cost is $$$$0\mathrm{.}10$ per light per year.

$$a$)$ What is the optimal size of the production$$ run?

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$($round your response to the nearest whole$$ number$).$