Reference no: EM132455990

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, with projects in process. The estimated hourly requirement for each of the clients over the four-week period are follow:

Client             Hours

 A                     180

B                       75

C                       100

D                        85

                                   Client

Consultant              A         B         C            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 problem, with the optimal solution providing the hours each consultant should be schedule 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 consulting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?