Hourty rates vary for the consultant-client combination and are based on several factors, inciuding project type and the consultant's experience. The rates (dollars per hour) for each consultant-client combination are as follows: Client Consultant A B D Avery 100 125 115 100 Baker 120 135 115 120 Campbell 155 150 140 130 a Develop a network representation of the problem 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 What is the schedule and what is the total billing? c New information shows that Avery doesn't have the experience to be scheduled for client B. If this consuiting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 80P
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5. 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 dlients 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
A
180
B
75
100
D
85
Hourty 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:
Client
Consultant
A
B
D
Avery
100
125
115
100
Baker
120
135
115
120
Campbell
155
150
140
130
a Develop a network representation of the problem
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. What is the schedule and what is the total billing?
c. New information shows that Avery doesn't have the experience to be scheduled for client B. If this consuiting assignment is not permitted, what impact does it have on
total billings? What is the revised schedule?
Transcribed Image Text:5. 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 dlients 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 A 180 B 75 100 D 85 Hourty 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: Client Consultant A B D Avery 100 125 115 100 Baker 120 135 115 120 Campbell 155 150 140 130 a Develop a network representation of the problem 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. What is the schedule and what is the total billing? c. New information shows that Avery doesn't have the experience to be scheduled for client B. If this consuiting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?
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