Given the following, what are the machine fractions for machines A$,$ B and C to produce

part x and y$?$

Machine A Machine B Machine C

Part x standard time $0\mathrm{.}15$ hr $0\mathrm{.}25$ hr $0\mathrm{.}1$ hr

Part y standard time $0\mathrm{.}1$ hr $0\mathrm{.}1$ hr $0\mathrm{.}15$ hr

Part x scrap estimate $5\%4\%3\%$

Part y scrap estimate $5\%4\%3\%$

Historical efficiency $90\%90\%95\%$

Reliability factor $90\%90\%95\%$

Equipment availability $1600$ hr$/$year $1600$ hr$/$year $1600$ hr$/$year

Part X routing is machine A$,$ then B and then C; $110,000$ parts are to be produced per year.

Part Y routing is machine B$,$ then A and then C; $250,000$ parts are to be produced per year.

Setup time is $20$ min and $40$ min, respective