Illinois$$ Furniture, Inc., produces all types of office furniture. The$$ "Executive Secretary" is a chair that has been designed using ergonomics to provide comfort during long work hours. The chair sells for$$ $$130.$ There are $480$ minutes available during the$$ day, and the average daily demand has been $52$ chairs. There are eight$$ tasks:

$$

Task

Performance Time$($mins$)$

Task Must Follow Task Listed Below

A

$6$

minus

B

$8$

minus

C

$7$

$$A$,$ B

D

$6$

C

E

$5$

D

F

$6$

E

G

$8$

E

H

$5$

$$F$,$ G

This exercise only contains parts$$ b$,$ c$,$ d$,$ e$,$ f$,$ and g$.$

$$b$)$ The Takt Time for the production of one chair$=$

$$

$9\mathrm{.}23$ minutes $($round your response to two decimal$$ places$).$

$$c$)$ The theoretical minimum number of workstationsequals

$$

$6($round your response up to the next whole$$ number$).$

$$d$)$ The assignment of tasks to workstations should$$ be: $($Hint: Number work stations based on precedence relationships$$ & not allowing total time at one work station exceed Takt$$ Time, if$$ possible.$)$

Task

Workstation Number

A

Station $1$

B

Station $2$

C

Station $3$

D

Station $4$

E

Station $5$

F

Station $6$

G

Station $7$

H

Station $8$

Were you able to assign all the tasks to the theoretical minimum number of$$ workstations?

No

$$e$)$ For this$$ process, the total idle time per cycle$=$

$$

$13$ minutes $($enter your response as a whole$$ number$).$

$$f$)$ The total actual idle time at all workstations over the course of an$8-$hour work day for the process$=$

$$

enter your response here minutes $($round your response to two decimal$$ places$).$

$$HINT: Multiply idle time per cycle times number of chairs produced in $8$ hours. Bottleneck work station determines output of chairs in $8$ hours.

$$g$)$ Given your answer in part$($d$),$ the efficiency of the assembly line$=$

$$

$79\mathrm{.}7\%($enter your response as a percentage rounded to one decimal$$ place$).$