a$)$ Using the table below develop a precedence diagram in the space to the right.

Task Description Time $($mins$)$ Predecessor

A Rear Axle prep $0\mathrm{.}2-0$

B Front Axle prep $0\mathrm{.}3-0$

C Install rear brake calipers $0\mathrm{.}4$ B $0$

D Install front brake calipers $0\mathrm{.}5$ A $0$

E Install brake pads $0\mathrm{.}8$ C$,$D $0$

F Install front brake lines $0\mathrm{.}6$ E $0$

G Install rear brake lines $0\mathrm{.}7$ E $0$

H Install master cylinder and test system $0\mathrm{.}5$ F$,$G $0$

b$)$ What is the minimum $($shortest$)$ cycle time? $0\mathrm{.}80$ NOTE $-$ The # of workstations in the table is not indicative of the solution

k$)$ Calculate the number of remaining tasks and positional weight for each activity. Rank $1$st to last and assign a task to each workstation below using # of remaining tasks and positional weight.

$<=2$ decimals

c$)$ What would be the daily, or maximum, at this rate? $750\mathrm{.}00$ Fill in the green cells as needed $7$ pts $7$ pts $7$ pts $20$ pts

$<=2$ decimals Task Length $($mins$)$ # of Tasks Positional Weight RANK Enter Task Time for Each Assignment

d$)$ What is the maximum $($longest$)$ cycle time? $4$ WS $1$ WS $2$ WS $3*$ WS $4*$

A $0\mathrm{.}210\mathrm{.}2$

$<=2$ decimals

e$)$ What would the daily output be at this rate? $150\mathrm{.}00$ B $0\mathrm{.}320\mathrm{.}3$

$<=2$ decimals C $0\mathrm{.}430\mathrm{.}4$

f$)$ What is the actual or required cycle time? $1\mathrm{.}20$

D $0\mathrm{.}540\mathrm{.}5$

$<=2$ decimals

g$)$ What is the minimum number of workstations required for this process? $3\mathrm{.}33$ E $0\mathrm{.}850\mathrm{.}8$

$<=2$ decimals F $0\mathrm{.}660\mathrm{.}6$

h$)$ What is the rounded number of stations? $4\mathrm{.}00$

G $0\mathrm{.}770\mathrm{.}7$

integer

i$)$ What is the overall system efficiency? $0\mathrm{.}8333$ H $0\mathrm{.}580\mathrm{.}5$

$4$ decimals TOTAL TIME $1\mathrm{.}21\mathrm{.}20\mathrm{.}80\mathrm{.}8$

j$)$ What is the overall system idle time? $0\mathrm{.}1666$ Required Cycle Time $1\mathrm{.}201\mathrm{.}201\mathrm{.}201\mathrm{.}20$

$4$ decimals