A company is setting up an assembly line to produce cellular telephones. They intend to use line balancing with the longest?task?time heuristic. They know the demand per hour is 40 phones and the productive time per hour is 54 minutes. Displayed below is the data they have collected regarding task precedence and times.
$\begin{array}{ccc}
\underline{\text { Task }}& \underline{\text { Time in minutes) }} & \underline{ \text { Predecessors) }}\
\mathrm{A} & 40 & \text { none } \
\mathrm{B} & 1.20 & \mathrm{~A} \
\mathrm{C} & .90 & \mathrm{~A} \
\mathrm{D} & .70 & \mathrm{~B} \
\mathrm{E} & .60 & \mathrm{~B} \
\mathrm{~F} & .35 & \mathrm{C} \
\mathrm{G} & 1.00 & \mathrm{D}, \mathrm{E} \
\mathrm{H} & .80 & \mathrm{~F}, \mathrm{G}\
\mathrm{I} & .50 & \mathrm{~F}, \mathrm{H}
\end{array}$

a. What is the cycle time?
b. What is the theoretical minimum number of workstations?
c. What tasks are assigned to the first workstation?
d. How many workstations are needed for the entire line?
e. What is the assembly-line efficiency?

Question

A company is setting up an assembly line to produce cellular telephones. They intend to use line balancing with the longest?task?time heuristic. They know the demand per hour is 40 phones and the productive time per hour is 54 minutes. Displayed below is the data they have collected regarding task precedence and times.
 $\begin{array}{ccc}
 \underline{\text { Task }}& \underline{\text { Time in minutes) }} & \underline{ \text { Predecessors) }}\
\mathrm{A} & 40 & \text { none } \
\mathrm{B} & 1.20 & \mathrm{~A} \
\mathrm{C} & .90 & \mathrm{~A} \
\mathrm{D} & .70 & \mathrm{~B} \
\mathrm{E} & .60 & \mathrm{~B} \
\mathrm{~F} & .35 & \mathrm{C} \
\mathrm{G} & 1.00 & \mathrm{D}, \mathrm{E} \
\mathrm{H} & .80 & \mathrm{~F}, \mathrm{G}\
\mathrm{I} & .50 & \mathrm{~F}, \mathrm{H}
\end{array}$
 
a. What is the cycle time?
b. What is the theoretical minimum number of workstations?
c. What tasks are assigned to the first workstation?
d. How many workstations are needed for the entire line?
e. What is the assembly-line efficiency?

Quizplus · Accepted Answer

The Answer of A company is setting up an assembly line to produce cellular telephones. They intend to use line balancing with the longest?task?time heuristic. They know the demand per hour is 40 phones and the productive time per hour is 54 minutes. Displayed below is the data they have collected regarding task precedence and times.
 $\begin{array}{ccc}
 \underline{\text { Task }}& \underline{\text { Time in minutes) }} & \underline{ \text { Predecessors) }}\
\mathrm{A} & 40 & \text { none } \
\mathrm{B} & 1.20 & \mathrm{~A} \
\mathrm{C} & .90 & \mathrm{~A} \
\mathrm{D} & .70 & \mathrm{~B} \
\mathrm{E} & .60 & \mathrm{~B} \
\mathrm{~F} & .35 & \mathrm{C} \
\mathrm{G} & 1.00 & \mathrm{D}, \mathrm{E} \
\mathrm{H} & .80 & \mathrm{~F}, \mathrm{G}\
\mathrm{I} & .50 & \mathrm{~F}, \mathrm{H}
\end{array}$
 
a. What is the cycle time?
b. What is the theoretical minimum number of workstations?
c. What tasks are assigned to the first workstation?
d. How many workstations are needed for the entire line?
e. What is the assembly-line efficiency?

A Company Is Setting Up an Assembly Line to Produce