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$$ day, and it uses these subcomponents at a rate of $12,600$ per year$($of $250$ working$$ days$).$ Holding costs are $$$$2$ per item per$$ year, and ordering costs are $$$$32$ per order.

Part $2$

$$a$)$ What is the economic production$$ quantity? $698\mathrm{.}58698\mathrm{.}58$ units $($round your response to two decimal$$ places$).$

Part $3$

$$b$)$ How many production runs per year will be$$ made? $18\mathrm{.}0418\mathrm{.}04$ production runs $($round your response to two decimal$$ places$).$

Part $4$

$$c$)$ What will be the maximum inventory$$ level? $577\mathrm{.}17577\mathrm{.}17$ 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$).$