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 $12,000$ flashing lights per year and has the capability of producing $95$ per day. Setting up the light production costs $$$$49.$ The cost of each light is $$$$0\mathrm{.}95.$ The holding cost is $$$$0\mathrm{.}15$ per light per year.

Part $2$

$$a$)$ What is the optimal size of the production$$ run? enter your response here units $($round your response to the nearest whole$$ number$).$