Question $6,$ Problem $12\mathrm{.}18$

HW Score: $92\mathrm{.}94\%,15\mathrm{.}8$ of $17$ points

Part $5$ of $5$

Points: $0\mathrm{.}8$ of $2$

Race One Motors is an Indonesian car manufacturer. At its largest manufacturing facility, in Jakarta, the company produces subcomponents at a rate of $305$ per day, and it uses these subcomponents at a rate of $12,300$ 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? $532\mathrm{.}48$ units $($round your response to two decimal places$).$

b$)$ How many production runs per year will be made? $23\mathrm{.}10$ production runs $($round your response to two decimal places$).$

c$)$ What will be the maximum inventory level? $446\mathrm{.}58$ units $($round your response to two decimal places$).$

d$)$ What percentage of time will the facility be producing components? $16\mathrm{.}17\%($enter your response as a percentage rounded to two decimal places$).$

e$)$ What is the annual cost of ordering and holding inventory? $$1,{339\mathrm{.}77}^{TT}($round your response to two decimal places$).$