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? $3,6803,680$ units $($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ What is the average holding cost per$$ year? $$$enter your response here $($round your response to two decimal$$ places$).$