With a man$-$machine chart, show how a worker can handle during repeating cycle two machines A and one machine $B$ using the following data:

$\backslash$table$[[$Machine A$,,$Machine B$,],[$Activity$,$Time $($min$),$Activity,Time $($min$)],[$Load$,1,$Load,$1\mathrm{.}5],[$Inspect$,0\mathrm{.}5,$Inspect,$0\mathrm{.}0],[$Travel$,0\mathrm{.}5,$Travel,$0\mathrm{.}5],[$Machining$,7,$Machining,$6\mathrm{.}5],[$Unload$,1,$Unload,$1]]$

a$)-$ Find the total cycle time $($At the steady state$),$ and utilizations of the worker and all machines?