Question

Instructions: 1. Assignments are only accepted electronically through Blackboard. The server is open to accept your submission until 11:55 p.m. on February 26, 2019. Please allow sufficient time for the server to complete your submission and last-minute technical failures are not acceptable reasons for extensions. No late assignments will be accepted. 2. For each question, your mathematical model and answers to each individual part should be typed in Microsoft Word. For each question, state your model by clearly defining your decision variables (with appropriate units), the objective function, and all the relevant (including the non-negativity) constraints. The graphical solution to Question #5 could be hand-drawn, but you must submit a jpg or pdf file of your graph. 3. Except for Question #5, where graphical solution is required, you only need to give the model formulation, NO Excel solution is required.Question #2: Larry Edison is the Director of the Computer Center for Buckly College. He now needs to schedule the staffing of the center. It is open from 8 AM until midnight. Larry has monitored the usage of the center at various times of the day and determined that the following numbers of computer consultants are required: Time of Day 8 AM -noon Noon – 4 PM 4 PM – 8 PM 8 PM - Midnight Minimum Number of Consultants Required to be on Duty 4 8 10 6 Two types of computer consultants can be hired: full-time and part-time. The full-time consultants work for eight consecutive hours in either one of the following two shifts: morning (8 AM – 4 PM), and evening (4 PM – Midnight). Full-time consultants are paid $14.00 per hour. Part-time consultants can be hired to work any of the four shifts listed in the table. Part- time consultants are paid $12.00 per hour. An additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. 2 Larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. Summarize the model in algebraic form by defining the decision variables, the objective function and all the constraints.

Answer 1