91影视

Some tasks and the order in which they must be performed according to their assembly requirements are shown in the following table. These are to be combined into workstations to create an assembly line. The assembly line operates 7 1鈦�2 hours per day. The output requirement is 1,000 units per day.

Task	Preceding Tasks	Time (Seconds)	Task	Preceding Tasks	Time (Seconds)
A	鈥�	15	G	C	11
B	A	24	H	D	9
C	A	6	I	E	14
D	B	12	J	F, G	7
E	B	18	K	H, I	15
F	C	7	L	J, K	10

a. What is the workstation cycle time required to produce 1,000 units per day?

b. Balance the line using the longest task time based on the 1,000-unit forecast, stating which tasks would be done in each workstation.

c. For (b), what is the efficiency of your line balance, assuming it is running at the cycle time from part (a)?

d. After production was started, Marketing realized that it understated demand and must increase output to 1,100 units. What action would you take? Be specific and quantitative in your answer.

Step by step solution

01

(a) Total Workstation Required

$$\begin{gathered} \mathrm{cycle}\mathrm{time}=\frac{\mathrm{production}\mathrm{time}}{\mathrm{required}\mathrm{output}} \\ =\frac{27000}{1000} \\ =27\sec \end{gathered}$$

Utilizing the cycle time and amount of the undertaking times, ascertain the necessary number of workstations as follows:

$$\begin{gathered} \mathrm{workstation}\mathrm{required}=\frac{\mathrm{total}\mathrm{task}\mathrm{time}}{\mathrm{cycle}\mathrm{time}\mathrm{t}} \\ =\frac{148}{27} \\ =5.48~6 \end{gathered}$$

A total of six workstations are required.

02

(b) Assign the tasks per workstation with the end goal that the amount of the tasks at a workstation isn't more than the cycle time as follows

03

(c) Efficiency

$$\begin{gathered} efficiency=\frac{sumof\mathrm{task}\mathrm{time}}{\mathrm{cycle}\mathrm{time}\mathrm{t}} \\ =\frac{148}{6脳27} \\ =\frac{148}{162} \\ =0.9135or91.35\% \end{gathered}$$

04

(d) Showcasing intended to expand the creation to 1, 100 units to satisfy the need

Calculate the cycle time when the expected result is 1, 100 units are as follows:

$$\begin{gathered} \mathrm{cycle}\mathrm{time}=\frac{\mathrm{production}\mathrm{time}}{\mathrm{required}\mathrm{output}} \\ =\frac{27000}{1100} \\ =24.54\sec \end{gathered}$$

The cycle time has been decreased when the result expanded. As the task time at the workstations ought to be equivalent to the cycle time, the task times ought to likewise be diminished.

Unlock Step-by-Step Solutions & Ace Your Exams!

• Full Textbook Solutions

  Get detailed explanations and key concepts

• Unlimited Al creation

  Al flashcards, explanations, exams and more...

• Ads-free access

  To over 500 millions flashcards

• Money-back guarantee

  We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!