Question

In: Operations Management

The ABC Cement Company packs 80-pound bags of concrete mix using manpower. Filling and packing a...

The ABC Cement Company packs 80-pound bags of concrete mix using manpower. Filling and packing a single bag requires a worker to undertake four elemental tasks. The time study undertaken so as to develop a standard time for the task has yielded the following observed time (in minutes). Assume the company’s tradition for this kind of job is using an allowance of 20 percent of normal time. Observed time in minutes per observation:

Observed time in minutes per observation:

Performance rating (%)

Task element

1

2

3

4

5

Grasp and place bag

8

9

8

11

7

110

Fill bag

36

41

39

35

112

85

Seal bag

15

17

13

20

18

105

Place bag on conveyor

8

6

9

30

35

90

Answer the following questions

a. Determine standard time for the task b. Assume the operation manger is not comfortable with the standard time developed on the bases of these few observations and wants the study to be based on the number of observation yielding more representative standard time.

Determine the number of observations for the first task element (Grasp and place bag) that are needed for a 95.45% confidence level within 5% accuracy? (Hint: use the mean and SD of the current observations)

Solutions

Expert Solution

I have assumed that odd time like 112 in observation 5 for element 2 and 30, 35 for observation 4, 5 for element 4 to be taked into consideration since no information is given for odd time. If not then let me know, i will rectify the answer accordingly.

Below is the screenshot of the formula applied -

Below is the screenshot of the result -

keosha answered 1 year ago
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