QRS Corp. is designing a product layout for a new product. They plan to use this production line 10 hours a day in order to meet forecasted demand of 900 units per day. The following table describes the tasks necessary to produce this product: $$\begin{array} { l l l }
\text { Task } & \text { Time (secs) } & \text { Immediate Predecessor } \
\hline \text { a } & 34 & \text { none } \
\text { b } & 20 & \text { a } \
\text { c } & 10 & \text { b } \
\text { d } & 16 & \text { b } \
\text { e } & 10 & \text { c } \
\text { f } & 24 & \text { d, e } \
\text { g } & 38 & \text { f }
\end{array}$$ For output to equal forecasted demand, what will be the efficiency of the production line that uses the least number of workstations?
A) 81 percent
B) 90 percent
C) 95 percent
D) 85 percent
E) 100 percent

Question

QRS Corp. is designing a product layout for a new product. They plan to use this production line 10 hours a day in order to meet forecasted demand of 900 units per day. The following table describes the tasks necessary to produce this product: $$\begin{array} { l l l } 
\text { Task } & \text { Time (secs) } & \text { Immediate Predecessor } \
\hline \text { a } & 34 & \text { none } \
\text { b } & 20 & \text { a } \
\text { c } & 10 & \text { b } \
\text { d } & 16 & \text { b } \
\text { e } & 10 & \text { c } \
\text { f } & 24 & \text { d, e } \
\text { g } & 38 & \text { f }
\end{array}$$ For output to equal forecasted demand, what will be the efficiency of the production line that uses the least number of workstations?
A) 81 percent
B) 90 percent
C) 95 percent
D) 85 percent
E) 100 percent

Quizplus · Accepted Answer

To find the efficiency of the production line, we need to first calculate the cycle time and the number of workstations needed.

Cycle time (CT) = Longest Task Time = 38 seconds

Number of workstations (N) = Total Task Time / (Cycle Time x Production Time)

Total Task Time = 34 + 20 + 10 + 16 + 10 + 24 + 38 = 152 seconds

Production Time = 10 hours = 10 x 60 x 60 = 36,000 seconds

N = 152 / (38 x 36,000 / 900) = 5 workstations

Efficiency = (Sum of Task Times) / (Number of Workstations x Cycle Time x Production Time)

Efficiency = 152 / (5 x 38 x 36,000 / 900) = 95 percent

Therefore, the answer is C.

QRS Corp Is Designing a Product Layout for a New Product