OPERATIONS MANAGEMENT (LL) >CUSTOM<
OPERATIONS MANAGEMENT (LL) >CUSTOM<
13th Edition
ISBN: 9781260352542
Author: Stevenson
Publisher: MCG CUSTOM
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Chapter 7, Problem 18P

a)

Summary Introduction

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)

Expert Solution
Check Mark

Answer to Problem 18P

11 observations of days are given.

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

Schedule of days in row 4 and 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)

Summary Introduction

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)

Expert Solution
Check Mark

Answer to Problem 18P

The hours from column 1 using its first digit is given.

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)

Summary Introduction

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)

Expert Solution
Check Mark

Answer to Problem 18P

The minutes reading of the first two digits in column 4, which is going up and then taking the next set of two digits is given.

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)

Summary Introduction

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)

Expert Solution
Check Mark

Answer to Problem 18P

The arrangement of days, hours, and minutes, in chronological order is given in Table 1.

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)

Summary Introduction

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)

Expert Solution
Check Mark

Answer to Problem 18P

The observed days are converted to dates in March, April, and May.

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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