Problem 3: Formulation Problem (30pts) Hawks Corporation is considering a R&D program encompassing eight research projects. The following are the constraints: The company is constrained from embarking on all projects by the number of available data scientists at 35, and the budget available for the projects at $300,000. At least three projects must be selected. Also, project 2 cannot be selected unless either project 4 or project 6 is selected Finally, either project 7 or 8 must be selected, but not both. Using the following are the resource requirements and the estimations, formulate (not solve) this integer (binary) programming problem to maximize profit. Project Cost (S in 000s) Data Scientists Profit ($ in 000s) Required 400 200