Quality Consulting has two consultants, Alfred and Barbara that can be scheduled to work for clients up to a maximum of 170 hours each over the next four weeks. A third consultant, Charlie, has some administrative assignments already planned and is available for clients up to a maximum of 150 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-client combination and are based on several factors, including project type and the consultants experience. The rates (dollars per hour) for each consultant-client combination are as follows:

	Client
Consultant	A	B	C	D
Alfred	100	125	115	100
Barbara	120	135	115	120
Charlie	155	150	140	130

Develop a network representation of the problem. You may reference the Network Diagram Template .

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?