The maker of the world-famous Chocolate Chip Cookies needs to design a product layout for a new product, Mint Chocolate Chip. The company plans to use this new production line eight hours a day in order to meet projected demand of 1,440 cases per day. The following table describes the tasks involved in the production of a Mint Chocolate Chip Cookie. $$\begin{array} { l l l }
\text { Task } & \text { Time } ( \text { secs } ) & \text { Immediate Predecessor } \
\hline \mathrm { u } & 4 & \text { none } \
\mathrm { v } & 14 & \mathrm { u } \
\mathrm { w } & 12 & \mathrm {~V} \
\mathrm { x } & 12 & \mathrm {~V} \
\mathrm { y } & 6 & \mathrm { w } \
\mathrm { z } & 8 & \mathrm { x } , \mathrm { y }
\end{array}$$ For output to equal projected demand, what will be the efficiency of the production line that uses the minimum number of workstations?
A) 93.33 percent
B) 95 percent
C) 97 percent
D) 99 percent
E) 100 percent

Question

The maker of the world-famous Chocolate Chip Cookies needs to design a product layout for a new product, Mint Chocolate Chip. The company plans to use this new production line eight hours a day in order to meet projected demand of 1,440 cases per day. The following table describes the tasks involved in the production of a Mint Chocolate Chip Cookie. $$\begin{array} { l l l } 
\text { Task } & \text { Time } ( \text { secs } ) & \text { Immediate Predecessor } \
\hline \mathrm { u } & 4 & \text { none } \
\mathrm { v } & 14 & \mathrm { u } \
\mathrm { w } & 12 & \mathrm {~V} \
\mathrm { x } & 12 & \mathrm {~V} \
\mathrm { y } & 6 & \mathrm { w } \
\mathrm { z } & 8 & \mathrm { x } , \mathrm { y }
\end{array}$$ For output to equal projected demand, what will be the efficiency of the production line that uses the minimum number of workstations?
A) 93.33 percent
B) 95 percent
C) 97 percent
D) 99 percent
E) 100 percent

Quizplus · Accepted Answer

To find the efficiency of a production line, the formula used is:

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

We need to find the minimum number of workstations required to meet the projected demand of 1440 cases per day. Let's use the largest task time, which is 14 seconds for Task V, as the cycle time.

Cycle Time = Largest Task Time = 14 seconds

Production Time = 8 hours = 8 hours * 60 minutes/hour * 60 seconds/minute = 28,800 seconds

Number of Workstations = Sum of Task Times / Cycle Time = (4 + 14 + 12 + 12 + 6 + 8) seconds / 14 seconds = 4 workstations

Using the formula for efficiency, we get:

Efficiency = (4+14+12+12+6+8) / (4*28,800) = 0.9333 or 93.33 percent.

Therefore, the answer is A) 93.33 percent.

The Maker of the World-Famous Chocolate Chip Cookies Needs to Design