Five parts $($A$,$ B$,$ C$,$ D$,$ and E$)$ are processed through a sequence of five operations $(1,2,3,4,$ and $5).$ Not all parts are processed in all operations. Part A$,$ which has daily quantities of $50$ units, is processed through operations $1,3,5,$ and $1$ in that order. Part B$,$ which has daily quantities of $70$ units, is processed through operations $2,4,$ and $5$ in that order. Part C$,$ which has daily quantities of $25$ units, is processed through operations $3,2,$ and $4$ in that order. Part D$,$ which has daily quantities of $10$ units, is processed through operations $1,$