Our objective is to find the allocation of the consultants that maximizes the total interest level, under the expertise constraint (i.e., a consultant cannot be assigned to a project without having the corresponding expertise). We need to formulate this BE an optimization problem with a linear objective function and linear constraints. (() Introduce decision variables and write down the objective function. (You do not need to write down the entire objective function, i.e., you can use notation.) (b) Write down a constraint expressing each of the following restrictions described above