Premier Consulting's two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows. Client Hours 1 A B C D 12 3 4 Avery 180 75 Baker 100 Hourly rates vary for the consultant-client combination and are based on several factors, including project type and the consultant's experience. The rates (dollars per hour) for each consultant-client combination are as follows. 85 Consultant A B C D 100 125 115 100 120 135 115 120 1 Client 2 3 Campbell 155 150 140 130 (a) Develop a network representation of the problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm's billings. (i) Let x = number of hours from consultant i assigned to client j, using the indices from the tables. For example, X₁4 is the number of hours Campbell spends with Client D.
Premier Consulting's two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows. Client Hours 1 A B C D 12 3 4 Avery 180 75 Baker 100 Hourly rates vary for the consultant-client combination and are based on several factors, including project type and the consultant's experience. The rates (dollars per hour) for each consultant-client combination are as follows. 85 Consultant A B C D 100 125 115 100 120 135 115 120 1 Client 2 3 Campbell 155 150 140 130 (a) Develop a network representation of the problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm's billings. (i) Let x = number of hours from consultant i assigned to client j, using the indices from the tables. For example, X₁4 is the number of hours Campbell spends with Client D.
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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Transcribed Image Text:Premier Consulting's two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative
assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for
each of the clients over the four-week period are as follows.
Client
A
B
C
D
2
3
Avery
4
Hours
Baker
180
Campbell
75
Hourly rates vary for the consultant-client combination and are based on several factors, including project type and the consultant's experience. The rates (dollars per hour) for each consultant-client combination
are as follows.
100
Consultant A
85
Client
B
100 125 115 100
120 135
с
115 120
155 150 140 130
This answer has not been graded yet.
(a) Develop a network representation of the problem. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
(b) Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm's billings.
(i) Let Xij
= number of hours from consultant i assigned to client j, using the indices from the tables. For example, X34 is the number of hours Campbell spends with Client D.
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