$1$ Assembly Line Balancing

Question $(1)$ The work elements, precedence requirements, and time requirements to assemble

a Picture frame are shown here.

$$ Construct a precedence diagram of the process and label task times.

$$ Set up an assembly line capable of producing $1,600$ frames per $40-$hour week.

$$ Calculate the efficiency and idle time of the line.

Element Description Precedence Time $($minutes$)$

A Attach left frame side to top of frame. $-0\mathrm{.}35$

B Attach right frame side to bottom of frame. $-0\mathrm{.}35$

C Attach left and right frame subassemblies. A$,$ B $0\mathrm{.}70$

D Cut $8-$inch x $10-$inch glass. $-0\mathrm{.}50$

E Cut $8-$inch x $10-$inch cardboard. $-0\mathrm{.}50$

F Place glass into frame. C$,$ D $0\mathrm{.}20$

G Place cardboard into frame. C$,$ E$,$ F $0\mathrm{.}20$

H Secure cardboard and glass. F$,$ G $0\mathrm{.}50$

I Apply descriptive label to glass. D $0\mathrm{.}1$ Calculate the cycle timeQuestion $(1)$ The work elements, precedence requirements, and time requirements to assemble

a Picture frame are shown here.

Construct a precedence diagram of the process and label task times.

Set up an assembly line capable of producing $1,600$ frames per $40-$hour week.

Calculate the efficiency and idle time of the line.