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Part $1$

Radovilsky Manufacturing$$ Company, in$$ Hayward, California, makes flashing lights for toys. The company operates its production facility $300300$ days per year. It has orders for about $12$ comma $10012,100$ flashing lights per year and has the capability of producing $100100$ per day. Setting up the light production costs $$$$4949.$ The cost of each light is $$$$1\mathrm{.}001\mathrm{.}00.$ The holding cost is $$$$0\mathrm{.}050\mathrm{.}05$ per light per year.

What is the optimal size of the production run?

What is the average holding cost per year?

What is the average setup cost per year? What is the total cost per year, including the cost of the lights?