Race One Motors is an Indonesian car manufacturer. At its largest manufacturing facility, in Jakarta, the company produces subcomponents at a rate of $315$ per day, and it uses these

subcomponents at a rate of $12,700$ per year $($of $250$ working days$).$ Holding costs are $$2$ per item per year, and ordering costs are $$29$ per order.

a$)$ What is the economic production quantity? $662\mathrm{.}65$ units $($round your response to two decimal places$).$

b$)$ How many production runs per year will be made? $19\mathrm{.}16$ production runs $($round your response to two decimal places$).$

c$)$ What will be the maximum inventory level? $555\mathrm{.}79$ units $($round your response to two decimal places$).$

d$)$ What percentage of time will the facility be producing components? $16\mathrm{.}11\%($enter your response as a percentage rounded to two decimal places$).$

e$)$ What is the annual cost of ordering and holding inventory? $$1,111\mathrm{.}72($round your response to two decimal places$).$