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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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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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.
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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ISBN:
9781337406659
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