Concept explainers
a)
To determine: 11 observations of days going across row 4.
Introduction: The amount of the dependency on human effort by an organization in terms of achieving its goals is given by the work design. It is directly linked to the productivity of an organization, where a good work design helps in achieving high productivity.
a)
Answer to Problem 18P
Explanation of Solution
Given information:
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 6912 | 7264 | 2801 | 8901 | 4627 | 8387 |
2 | 3491 | 1192 | 575 | 7547 | 2093 | 4617 |
3 | 4715 | 2486 | 2776 | 2664 | 3856 | 64 |
4 | 1632 | 1546 | 1950 | 1844 | 1123 | 1908 |
5 | 8510 | 7209 | 938 | 2376 | 120 | 4237 |
6 | 3950 | 1328 | 7343 | 6083 | 2108 | 2044 |
7 | 7871 | 7752 | 521 | 8511 | 3956 | 3957 |
8 | 2716 | 1396 | 7354 | 249 | 7728 | 8818 |
9 | 1935 | 8259 | 9912 | 3761 | 4028 | 9207 |
10 | 8533 | 9957 | 9585 | 1039 | 2159 | 2438 |
11 | 508 | 1640 | 2768 | 4666 | 9530 | 3352 |
12 | 2951 | 131 | 4359 | 3095 | 4421 | 3018 |
Sets of two digits in row 4 from left to right are taken for days and the same is repeated for row 5
The days are observed from 1 to 50. Therefore, values below 50 are considered and values exceeding 50 are rejected. From the given table, the selected days in row 4 starting from left to right are 16, 32, 15, 46, 19, 50, 18, 44, 11, 23, and 19.
These are the values which satisfy the criteria for days below 50.
Hence, days for 11 observations for days is given.
b)
To determine: The hours from column 1 using its first digit.
Introduction: The amount of the dependency on human effort by an organization in terms of achieving its goals is given by the work design. It is directly linked to the productivity of an organization, where a good work design helps in achieving high productivity.
b)
Answer to Problem 18P
Explanation of Solution
Given information:
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 6912 | 7264 | 2801 | 8901 | 4627 | 8387 |
2 | 3491 | 1192 | 575 | 7547 | 2093 | 4617 |
3 | 4715 | 2486 | 2776 | 2664 | 3856 | 64 |
4 | 1632 | 1546 | 1950 | 1844 | 1123 | 1908 |
5 | 8510 | 7209 | 938 | 2376 | 120 | 4237 |
6 | 3950 | 1328 | 7343 | 6083 | 2108 | 2044 |
7 | 7871 | 7752 | 521 | 8511 | 3956 | 3957 |
8 | 2716 | 1396 | 7354 | 249 | 7728 | 8818 |
9 | 1935 | 8259 | 9912 | 3761 | 4028 | 9207 |
10 | 8533 | 9957 | 9585 | 1039 | 2159 | 2438 |
11 | 508 | 1640 | 2768 | 4666 | 9530 | 3352 |
12 | 2951 | 131 | 4359 | 3095 | 4421 | 3018 |
For hours, consider one digit going down from column 1 and repeating it for column 2.
Schedule of days in column 1 and 2:
Last one digit in column 1 is taken in hours. For an eight-hour period, the values will be within 0 to 8. So, numbers exceeding 8 are eliminated from the selection. The remaining values for hours are 6, 3, 4, 1, 3, 7, 2, 2, 0, 2, and 7 (in between, 8 is eliminated since the observation is taken within the 8-hour period which is within 7:59).
Hence, the hours from column 1 using its first digit is given.
c)
To determine: The minutes reading in the first two digits in column 4, which is going up and then taking the next set of two digits.
Introduction: The amount of the dependency on human effort by an organization in terms of achieving its goals is given by the work design. It is directly linked to the productivity of an organization, where a good work design helps in achieving high productivity.
c)
Answer to Problem 18P
Explanation of Solution
Given information:
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 6912 | 7264 | 2801 | 8901 | 4627 | 8387 |
2 | 3491 | 1192 | 575 | 7547 | 2093 | 4617 |
3 | 4715 | 2486 | 2776 | 2664 | 3856 | 64 |
4 | 1632 | 1546 | 1950 | 1844 | 1123 | 1908 |
5 | 8510 | 7209 | 938 | 2376 | 120 | 4237 |
6 | 3950 | 1328 | 7343 | 6083 | 2108 | 2044 |
7 | 7871 | 7752 | 521 | 8511 | 3956 | 3957 |
8 | 2716 | 1396 | 7354 | 249 | 7728 | 8818 |
9 | 1935 | 8259 | 9912 | 3761 | 4028 | 9207 |
10 | 8533 | 9957 | 9585 | 1039 | 2159 | 2438 |
11 | 508 | 1640 | 2768 | 4666 | 9530 | 3352 |
12 | 2951 | 131 | 4359 | 3095 | 4421 | 3018 |
For minutes, consider the first two digits going up in column 4 and repeat it with the next set of two digits in the same column.
The first two digits in column 4 are taken for minutes and the numbers ranges from 0 to 59. Hence, numbers exceeding 59 are omitted from the selection. The selected numbers are 30, 46, 10, 37, 03, 23, 18, 26, 39, 49, and 11.
Hence, the minutes reading the first two digits in column 4, which is going up and then taking next set of two digits, is given.
d)
To arrange: The days, hours, and minutes, in chronological order.
Introduction: The amount of the dependency on human effort by an organization in terms of achieving its goals is given by the work design. It is directly linked to the productivity of an organization, where a good work design helps in achieving high productivity.
d)
Answer to Problem 18P
Explanation of Solution
Given information:
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 6912 | 7264 | 2801 | 8901 | 4627 | 8387 |
2 | 3491 | 1192 | 575 | 7547 | 2093 | 4617 |
3 | 4715 | 2486 | 2776 | 2664 | 3856 | 64 |
4 | 1632 | 1546 | 1950 | 1844 | 1123 | 1908 |
5 | 8510 | 7209 | 938 | 2376 | 120 | 4237 |
6 | 3950 | 1328 | 7343 | 6083 | 2108 | 2044 |
7 | 7871 | 7752 | 521 | 8511 | 3956 | 3957 |
8 | 2716 | 1396 | 7354 | 249 | 7728 | 8818 |
9 | 1935 | 8259 | 9912 | 3761 | 4028 | 9207 |
10 | 8533 | 9957 | 9585 | 1039 | 2159 | 2438 |
11 | 508 | 1640 | 2768 | 4666 | 9530 | 3352 |
12 | 2951 | 131 | 4359 | 3095 | 4421 | 3018 |
From the above finding, the days, hours, and minutes are,
Day | Hour | Minutes |
16 | 6 | 30 |
32 | 3 | 46 |
15 | 4 | 10 |
46 | 1 | 37 |
19 | 3 | 2 |
50 | 7 | 23 |
18 | 2 | 18 |
44 | 2 | 26 |
11 | 0 | 39 |
23 | 2 | 49 |
19 | 7 | 11 |
Arrangement of days, hours and minutes in chronological order:
Day | Hour | Minutes |
11 | 0 | 39 |
15 | 4 | 10 |
16 | 6 | 30 |
18 | 2 | 18 |
19 | 3 | 2 |
19 | 7 | 11 |
23 | 2 | 49 |
32 | 3 | 46 |
44 | 2 | 26 |
46 | 1 | 37 |
50 | 7 | 23 |
The days, hours and minutes are arranged in chronological order, which is given in Table 1.
e)
To convert: The observed days to dates in March, April, and May.
Introduction: The amount of the dependency on human effort by an organization in terms of achieving its goals is given by the work design. It is directly linked to the productivity of an organization, where a good work design helps in achieving high productivity.
e)
Answer to Problem 18P
Explanation of Solution
Given information:
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 6912 | 7264 | 2801 | 8901 | 4627 | 8387 |
2 | 3491 | 1192 | 575 | 7547 | 2093 | 4617 |
3 | 4715 | 2486 | 2776 | 2664 | 3856 | 64 |
4 | 1632 | 1546 | 1950 | 1844 | 1123 | 1908 |
5 | 8510 | 7209 | 938 | 2376 | 120 | 4237 |
6 | 3950 | 1328 | 7343 | 6083 | 2108 | 2044 |
7 | 7871 | 7752 | 521 | 8511 | 3956 | 3957 |
8 | 2716 | 1396 | 7354 | 249 | 7728 | 8818 |
9 | 1935 | 8259 | 9912 | 3761 | 4028 | 9207 |
10 | 8533 | 9957 | 9585 | 1039 | 2159 | 2438 |
11 | 508 | 1640 | 2768 | 4666 | 9530 | 3352 |
12 | 2951 | 131 | 4359 | 3095 | 4421 | 3018 |
The conversion of observed days into dates in March, April, and May:
Table 1 gives the observed days. The organization has no holidays during the month of March, April, and May. The company functions for 5 days a week; taking this into account, March 1st is considered as day 1 and the respective dates are given as follows:
Day | Dates | Hour | Minutes |
11 | 15-Mar | 0 | 39 |
15 | 19-Mar | 4 | 10 |
16 | 22-Mar | 6 | 30 |
18 | 24-Mar | 2 | 18 |
19 | 25-Mar | 3 | 2 |
19 | 25-Mar | 7 | 11 |
23 | 31-Mar | 2 | 49 |
32 | 13-Apr | 3 | 46 |
44 | 29-Apr | 2 | 26 |
46 | 3-May | 1 | 37 |
50 | 7-May | 7 | 23 |
The observed days are converted into dates in the months of March, April, and May; this starts from March 15 and ends in May 7.
Hence, the observed days are converted to dates in March, April, and May.
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Chapter 7 Solutions
Operations Management
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