Use this scenario for the following question(s).
With the backyard poultry craze unleashing a tidal wave of municipal code proposals, Chickenverks is poised to capitalize on the sudden demand for chicken tractors. The portable henhouses they have designed can be assembled in 10 basic steps, each with a required time and predecessor as shown in the table. There are 8 productive hours available in a day and the manufacturer wishes to produce 40 units per hour.
$$\begin{array} { | c | c | c | }
\hline \text { Task } & \text { Time } ( \mathrm { sec } ) & \text { Predecessor } \
\hline \text { A } & 25 & \cdots \
\hline \text { B } & 35 & \text { A } \
\hline \text { C } & 20 & \text { A } \
\hline \text { D } & 55 & \text { B } \
\hline \text { E } & 45 & \text { C, D } \
\hline \text { F } & 15 & \text { B } \
\hline \text { G } & 35 & \text { C } \
\hline \text { H } & 40 & \text { D, E } \
\hline \text { J } & 25 & \text { F, G } \
\hline \text { K } & 30 & \text { H, J } \
\hline
\end{array}$$
-Refer to the scenario above. Balance the line according to the longest operation rule. What is the efficiency of your line balance?
A)85.66%
B)90.28%
C)88.14%
D)83.88%

Question

Use this scenario for the following question(s).
With the backyard poultry craze unleashing a tidal wave of municipal code proposals, Chickenverks is poised to capitalize on the sudden demand for chicken tractors. The portable henhouses they have designed can be assembled in 10 basic steps, each with a required time and predecessor as shown in the table. There are 8 productive hours available in a day and the manufacturer wishes to produce 40 units per hour.
 $$\begin{array} { | c | c | c | } 
\hline \text { Task } & \text { Time } ( \mathrm { sec } ) & \text { Predecessor } \
\hline \text { A } & 25 & \cdots \
\hline \text { B } & 35 & \text { A } \
\hline \text { C } & 20 & \text { A } \
\hline \text { D } & 55 & \text { B } \
\hline \text { E } & 45 & \text { C, D } \
\hline \text { F } & 15 & \text { B } \
\hline \text { G } & 35 & \text { C } \
\hline \text { H } & 40 & \text { D, E } \
\hline \text { J } & 25 & \text { F, G } \
\hline \text { K } & 30 & \text { H, J } \
\hline
\end{array}$$
-Refer to the scenario above. Balance the line according to the longest operation rule. What is the efficiency of your line balance?
A)85.66%
B)90.28%
C)88.14%
D)83.88%

Quizplus · Accepted Answer

Balancing the line according to the longest operation rule results in the following cycle time calculation:

A + C + G = 25 + 20 + 35 = 80 seconds

B + F + D = 35 + 15 + 55 = 105 seconds

E + H = 45 + 40 = 85 seconds

J + K = 25 + 30 = 55 seconds

The efficiency of the line balance is calculated as follows:

Efficiency = (Total productive time)/(Total cycle time required for desired output)

Total productive time = 8 hours x 60 minutes per hour x 60 seconds per minute = 28,800 seconds

Total cycle time required for 40 units per hour = 40 units/hour x 3600 seconds per hour / 60 minutes per hour = 2,400 seconds

Efficiency = (28,800 seconds)/(2,400 seconds) = 90%.

Therefore, the best choice is B, with an efficiency of 90.28%.

Use This Scenario for the Following Question(s) -Refer to the Scenario Above