PROBLEM II: In an assembly line, there are $7$ workstations, as shown below. In row $1,$ you are given the processing times in minutes. Row $2$ gives the workstation number. Assume an $8-$hour $(480-$minute$)$ work day.

$\backslash$table$[[6\mathrm{.}1,3\mathrm{.}2,8\mathrm{.}4,2\mathrm{.}5,20\mathrm{.}0,1\mathrm{.}4,1\mathrm{.}7],[1,2,3,4,5,6,7]]$

$(6)$ The output capacity of the assembly line is:

$($a$)40($b$)24($c$)16($d$)20($e$)$ none of the above

$(7)$ The percent of idle time $($rounded to $2$ decimal places$)$ is:

$($a$)69\mathrm{.}07$

$($b$)32\mathrm{.}39($c$)34\mathrm{.}25($d$)36\mathrm{.}40($e$)$ none of the above

$(8)$ If the desired output rate is $20$ units per day, the minimum number of workstations needed is:

$($a$)3($b$)2($c$)5($d$)4($e$)6($b$)$ None of the above

$(9)$ If the desired output rate is $20$ units per day, the target cycle time is:

$($a$)32$ minutes

$($b$)24$ minutes

$($c$)30$ minutes $($d$)48$ minutes

$($e$)$ none of the above

Re$-$organize the workstations so that you can produce at least $20$ units, while minimizing the idle time

$(10)$ After the re$-$organization, the percent of idle time $($rounded to $2$ decimal places$)$ is:

$($a$)12\mathrm{.}84($b$)9\mathrm{.}39($c$)6\mathrm{.}28($d$)2\mathrm{.}48($e$)$ none of the above