Which of the following is absolutely necessary for successful implementation and operation of MRP$?$

$($I$)$ accurate inventory records

$($II$)$ master schedules

$($III$)$ accurate holding and backordering costs

$($IV$)$ accurate bills of materials

I, II$,$ III, and IV

I and II only

I, II$,$ and III only

I, III, and IV only

I, II$,$ and IV only