Race One Motors is an Indonesian car manufacturer. At its largest manufacturing facility, in Jakarta, the company produces subcomponents at a rate of $285$ per day, and it uses these subcomponets 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. a$)$What is the economic production quantity? b$)$How many production runs per year will be made? c$)$ What will be the maximum inventory level? d$)$ What percentage of time will the facility be producing components?