An assembly line has to perform 10 work elements,whose time requirements follow below.An operations analyst has found a solution using some heuristics.The solution follows below.
Solution
$$\begin{array} { | c | c | c | c | }
\hline \begin{array} { c }
\text { Work } \
\text { Elements }
\end{array} & \begin{array} { c }
\text { Time } \
( \mathrm { sec } )
\end{array} & \text { Station } & \begin{array} { c }
\text { Work } \
\text { Elements } \
\text { Assigned }
\end{array} \
\hline \mathrm { A } & 45 & 1 & \mathrm {~A} , \mathrm {~B} , \mathrm { C } \
\mathrm { B } & 30 & 2 & \mathrm { D } , \mathrm { E } \
\mathrm { C } & 15 & 3 & \mathrm {~F} , \mathrm { H } \
\mathrm { D } & 30 & 4 & \mathrm { G } , \mathrm { I } \
\mathrm { E } & 50 & 5 & \mathrm {~J} \
\mathrm {~F} & 40 & & \
\mathrm { G } & 30 & & \
\mathrm { H } & 30 & & \
\mathrm { I } & 60 & & \
\text { J } & 80 & & \
\hline
\end{array}$$
If the cycle time of the line is 90 seconds,what is the efficiency of the assembly line?
A) less than 85%
B) greater than 85% but less than 90%
C) greater than 90% but less than 95%
D) greater than 95%

Question

An assembly line has to perform 10 work elements,whose time requirements follow below.An operations analyst has found a solution using some heuristics.The solution follows below.
Solution
$$\begin{array} { | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Work } \
\text { Elements }
\end{array} & \begin{array} { c } 
\text { Time } \
( \mathrm { sec } )
\end{array} & \text { Station } & \begin{array} { c } 
\text { Work } \
\text { Elements } \
\text { Assigned }
\end{array} \
\hline \mathrm { A } & 45 & 1 & \mathrm {~A} , \mathrm {~B} , \mathrm { C } \
\mathrm { B } & 30 & 2 & \mathrm { D } , \mathrm { E } \
\mathrm { C } & 15 & 3 & \mathrm {~F} , \mathrm { H } \
\mathrm { D } & 30 & 4 & \mathrm { G } , \mathrm { I } \
\mathrm { E } & 50 & 5 & \mathrm {~J} \
\mathrm {~F} & 40 & & \
\mathrm { G } & 30 & & \
\mathrm { H } & 30 & & \
\mathrm { I } & 60 & & \
\text { J } & 80 & & \
\hline
\end{array}$$
If the cycle time of the line is 90 seconds,what is the efficiency of the assembly line?
A) less than 85%
B) greater than 85% but less than 90%
C) greater than 90% but less than 95%
D) greater than 95%

Quizplus · Accepted Answer

Efficiency of an assembly line is calculated as follows:

Efficiency = (Sum of task times / (Number of stations x Cycle time)) x 100

In this case, the sum of task times is 445 seconds, the number of stations is 5, and the cycle time is 90 seconds.

Efficiency = (445 / (5 x 90)) x 100 = 98.89%

Therefore, the efficiency of the assembly line is greater than 90% but less than 95%. The correct answer is C.

An Assembly Line Has to Perform 10 Work Elements,whose Time