Patel and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows. Min s.t. Jackson Ellis Smith Client 1 Project Leader Client 2 Jackson Client 3 Ellis Smith (a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Formulate the problem as a linear program. (Express your answers in the form x, where x₁, is 1 if leader / is assigned to client j and 0 otherwise.) xij≥0 for all i, j. 20 Solve. Relationship X11 X12 X13 X21 X22 X23 2 X31 3 X32 X33 1 Client 2 3 10 16 32 14 22 40 22 24 34 Value Time (days) (c) What is the total time required (in days)? days
Patel and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows. Min s.t. Jackson Ellis Smith Client 1 Project Leader Client 2 Jackson Client 3 Ellis Smith (a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Formulate the problem as a linear program. (Express your answers in the form x, where x₁, is 1 if leader / is assigned to client j and 0 otherwise.) xij≥0 for all i, j. 20 Solve. Relationship X11 X12 X13 X21 X22 X23 2 X31 3 X32 X33 1 Client 2 3 10 16 32 14 22 40 22 24 34 Value Time (days) (c) What is the total time required (in days)? days
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
![Patel and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the
leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows.
Min
s.t.
Ellis
Jackson
Smith
Project Leader
Client 1
Jackson
Client 2
Client 3
Ellis
Smith
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
(b) Formulate the problem as a linear program. (Express your answers in the form X;; where X;; is 1 if leader i is assigned to client j and 0 otherwise.)
Xij ≥ 0 for all i, j.
Solve.
Relationship
X11
X12
X13
X21
X22
X23
X31
1
X32
2
X33
3
Client
10 16 32
14 22 40
22 24 34
Value
Time (days)
(c) What is the total time required (in days)?
days](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1adae9eb-3ce4-42d1-a66e-dfadef5e5ab4%2F79811700-2f9a-4c7b-8179-feb2002be394%2Fxksik4k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Patel and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the
leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows.
Min
s.t.
Ellis
Jackson
Smith
Project Leader
Client 1
Jackson
Client 2
Client 3
Ellis
Smith
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
(b) Formulate the problem as a linear program. (Express your answers in the form X;; where X;; is 1 if leader i is assigned to client j and 0 otherwise.)
Xij ≥ 0 for all i, j.
Solve.
Relationship
X11
X12
X13
X21
X22
X23
X31
1
X32
2
X33
3
Client
10 16 32
14 22 40
22 24 34
Value
Time (days)
(c) What is the total time required (in days)?
days
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