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
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
 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

To calculate the efficiency of the assembly line we first need to calculate the total time required for all the work elements.

Total time = 10 + 3 + 3 + 6 + 9 + 8 + 7 + 6 + 10 + 10 = 72 seconds

Next, we need to calculate the number of cycles required to complete all the work elements.

Number of cycles = Total time / Cycle time = 72 / 90 = 0.8 cycles

Finally, we can calculate the efficiency of the assembly line by using the following formula:

Efficiency = (Total work time / (Number of cycles x Cycle time)) x 100%

Efficiency = (72 / (0.8 x 90)) x 100% = 100%

Therefore, the efficiency of the assembly line is greater than 90% but less than 95%, which corresponds to choice C.

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