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Part $1$

A paced assembly line has been devised to manufacture$$ calculators, as the following data$$ show:

$$ LOADING...

Station

Work Element Assigned

Work Element Time$($min$)$

S$1$

A

$4\mathrm{.}0$

S$2$

$$D$,$ E

$0\mathrm{.}9,1\mathrm{.}5$

S$3$

C

$5\mathrm{.}0$

S$4$

$$B$,$ F$,$ G

$1\mathrm{.}1,1\mathrm{.}0,1\mathrm{.}3$

S$5$

$$H$,$ I, J

$1\mathrm{.}1,0\mathrm{.}5,1\mathrm{.}8$

S$6$

K

$4\mathrm{.}0$

Part $2$

a$.$ What is the maximum hourly output rate from this$$ line? $($Hint$$: The line can only go as fast as its slowest$$ workstation.$)$

The maximum hourly output rate is

$$

enter your response here calculators per hour. $($Enter your response as an$$ integer.$)$

Part $3$

b$.$ What cycle time corresponds to this maximum output$$ rate?

$$

enter your response here minutes per calculator. $($Enter your response as an$$ integer.$)$

Part $4$

c$.$ If a worker is at each station and the line operates at this maximum output$$ rate, how much idle time is lost during each$10-$hour shift?

$$

enter your response here minutes per shift. $($Enter your response as an$$ integer.$)$

Part $5$

d$.$ What is the$$ line's efficiency?

$$

enter your response here$\%.($Enter your response as a real number rounded to two decimal$$ places.$)$