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 ?rm’s billings. What is the schedule and what is the total billing?

. 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
Client Hours
A 180
B 75
C 100
D 85
Hourly rates vary for the consultant”?oclient combination and are based on several factors,
including project type and the consultant’s experience. The rates (dollars per hour) for
each consultant”?oclient combination are as follows:
Consultant A B C D
Avery 100 125 115 100
Baker 120 135 115 120
Campbell 155 150 140 130
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
?rm’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?
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