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 $11,600$ flashing lights per year and has the capability of producing $100$ per day. Setting up the light production costs $$51.$ The cost of each light is $$1\mathrm{.}00.$ The holding cost is $$0\mathrm{.}15$ per light per year.

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

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