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 $11,900$ flashing lights per year and has the capability of producing $100$ per day. Setting up the light production costs $$$$49.$ The cost of each light is $$$$1\mathrm{.}05.$ The holding cost is $$$$0\mathrm{.}15$ per light per year. What is the optimal size of the production$$ run?