Question 6. Students Ralph and Carla are taking a class where their final grade is determined by the average score they receive between a project and a exam. Ralph and Carla are partners for the project, and both need to decide whether to spend finals week focusing on the project or the exam (they must pick one). Each student expects a perfect score on the exam if they study for it, or an 70/100 if they focus on the project. If both students focus on the project, they will likely get a perfect score on the project. If just one student works on the project, they will likely get an 80/100. If neither prepares for the project, they will likely get a 60/100. 6)a) What final grade will each student get if both focus on the project? 6)b) What final grade will each student get if just Ralph focuses on the project? 6)c) What final grade will each student get if both focus on the exam? 6)d) Construct a payoff matrix to model this scenario, where the payoffs are the final grades received. Carla Project Exam Ralph Project Exam MATH 106 3 of 3