Premier Consultings 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 155 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 175 B 90 C 90 D 95 Hourly rates vary for the consultantclient combination and are based on several factors, including project type and the consultants experience. The rates (dollars per hour) for each consultantclient combination are as follows: Client Consultant A B C D Avery 130 120 100 90 Baker 125 150 100 120 Campbell 160 145 135 125 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 firms billings. What is the schedule and what is the total billing? c. New information shows that Avery doesnt 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