Race One Motors is an Indonesian car manufacturer. At its largest manufacturing$$ facility, in$$ Jakarta, the company produces subcomponents at a rate of $290$ per$$ day, and it uses these subcomponents at a rate of $12,500$ per year$($of $250$ working$$ days$).$ Holding costs are $$$$3$ per item per$$ year, and ordering costs are $$$$31$ per order.

Part $2$

$$a$)$ What is the economic production$$ quantity? $558\mathrm{.}71558\mathrm{.}71$ units $($round your response to two decimal$$ places$).$

Part $3$

$$b$)$ How many production runs per year will be$$ made? $22\mathrm{.}3722\mathrm{.}37$ production runs $($round your response to two decimal$$ places$).$

Part $4$

$$c$)$ What will be the maximum inventory$$ level? $462\mathrm{.}38462\mathrm{.}38$ units $($round your response to two decimal$$ places$).$

Part $5$

$$d$)$ What percentage of time will the facility be producing$$ components? enter your response here$\%($enter your response as a percentage rounded to two decimal$$ places$).$