Question
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
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 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:
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:
- Choose the correct network representation of the problem.
- 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? Let xij = number of hours from consultant i assigned to client j.
Max x11 + x12 + x13 + x14 + x21 + x22 + x23 + x24 + x31 + x32 + x33 + x34 s.t. x11 + x12 + x13 + x14 ___ x21 + x22 + x23 + x24 x31 + x32 + x33 + x34 x11 + x21 + x31 = x12 + x22 + x32 = x13 + x23 + x33 = x14 + x24 + x34 = xij 0 for all i, j Hours Assigned Billing Avery-Client A Avery-Client B Avery-Client C Avery-Client D Baker-Client A Baker-Client B Baker-Client C Baker-Client D Campbell-Client A Campbell-Client B Campbell-Client C Campbell-Client D Total Billing - 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?
Hours Assigned Billing Avery-Client A Avery-Client B Avery-Client C Avery-Client D Baker-Client A Baker-Client B Baker-Client C Baker-Client D Campbell-Client A Campbell-Client B Campbell-Client C Campbell-Client D Total Billing
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started
Financial Institutions Management A Risk Management Approach
Authors: Anthony Saunders, Marcia Cornett
7th Edition
0073530751, 9780073530758
