Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are given in the following table. Min Day s.t. Monday Tuesday Wednesday Thursday Friday Saturday Sunday Minimum Number of Employees Needed 70 40 35 50 80 70 The call-center employees work five consecutive days and then have two consecutive days off. An employee may start work any day of the week. Each call-center employee receives the same salary. Assume that the schedule cycles and ignore start-up and stopping of the schedule. Develop a model that will minimize the total number of call-center employees needed to meet the minimum requirements. (Let X; = the number of call-center employees who start work on day i where i = 1 = Monday, i = 2 = Tuesday, etc). 45

Practical Management Science
6th Edition
ISBN:9781337406659
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Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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mpson
Min
s.t.
Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation season (June, July, and the first two
weeks of August). These estimates are given in the following table.
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
m pl
Monday
p
Type here to search
at f
VI VI
Minimum Number of
Employees Needed
#
3
The call-center employees work five consecutive days and then have two consecutive days off. An employee may start work any day of the week. Each call-center
employee receives the same salary. Assume that the schedule cycles and ignore start-up and stopping of the schedule. Develop a model that will minimize the total
number of call-center employees needed to meet the minimum requirements. (Let X; = the number of call-center employees who start work on day i where
i = 1 = Monday, i = 2 = Tuesday, etc).
m
70
40
35
50
80
70
45
3
S
R
%
5
T
0+
F6
6
Y
7
W
U
F8
X
8
F9
(
9
F10
ร
F11
56°F 人口匝后北
P
F12
+ 11
10:52 PM
2/16/2024
&
6
PRE
Delete
Rr
+
Backspace
n
Transcribed Image Text:mpson Min s.t. Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are given in the following table. Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday m pl Monday p Type here to search at f VI VI Minimum Number of Employees Needed # 3 The call-center employees work five consecutive days and then have two consecutive days off. An employee may start work any day of the week. Each call-center employee receives the same salary. Assume that the schedule cycles and ignore start-up and stopping of the schedule. Develop a model that will minimize the total number of call-center employees needed to meet the minimum requirements. (Let X; = the number of call-center employees who start work on day i where i = 1 = Monday, i = 2 = Tuesday, etc). m 70 40 35 50 80 70 45 3 S R % 5 T 0+ F6 6 Y 7 W U F8 X 8 F9 ( 9 F10 ร F11 56°F 人口匝后北 P F12 + 11 10:52 PM 2/16/2024 & 6 PRE Delete Rr + Backspace n
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