Race One Motors is an Indonesian car manufacturer. At its largest manufacturing$$ facility, in$$ Jakarta, the company produces subcomponents at a rate of $310$ per$$ day, and it uses these subcomponents at a rate of $12,700$ per year$($of $250$ working$$ days$).$ Holding costs are $$$$3$ per item per$$ year, and ordering costs are $$$

$29$ per order.

$$a$)$ What is the economic production$$ quantity?