Problem 1 (x points) McKinsey has three consultants available to work on four current projects during the next week. Suppose the project managers...

This problem concerns Revenue with constraints and sets and parameters

Problem 1 (x points) McKinsey has three consultants available to work on four current projects during the next week.Suppose the project managers assume each consultant has 80 hours to split between the projectsduring the week. Since the consultants have different skills, they have different billing rates for each project, which are shown in the table below. The hours required for each project are alsopresented in this table: Project1 2 3 4Consultant 1 $900th $800fhr $100fhr $500/hrBill Rates Consultant 2 $600th $700fhr $500fhr $650/hrConsultant 3 $700th $400fhr $800fhr $850/hr Weekly Hours Required Suppose that we are attempting to maximize McKinsey’s revenue. a) Write out the sets and variables that you will use in the linear program. b) Formulate the objective function to maximize the revenue. c) Formulate the constraints to ensure that each project receives at least the required numberof hours each week. d) What are the implied constraints?