$3.$ Part X routing is machine A$,$ then B$,$ and then C; $100,000$ parts are to be produced per year. Part Y routing is machine B$,$ then A$,$ and then C; $200,000$ parts are to be produced per year. Given the following, what are the machine fractions for machines A$,$ B$,$ and C to pro$-$ duce parts X and Y$?$ Part X standard time Part Y standard time Part X defect estimate Part Y defect estimate Historical efficiency Reliability factor Equipment availability Machine A $0\mathrm{.}15$ hr $0\mathrm{.}10$ hr $5\%5\%85\%95\%1600$ hr$/$yr Machine B $0\mathrm{.}25$ hr $0\mathrm{.}10$ hr $4\%4\%90\%90\%1600$ hr$/$yr Machine C $0\mathrm{.}1$ hr $0\mathrm{.}15$ hr $3\%3\%95\%85\%1600$ hr$/$yr