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?
70/100 focus on project $+\frac{1}{2}(100) + \frac{1}{2}(70) = 85$
100/100 on project
6)b) What final grade will each student get if just Ralph focuses on the project?
80/100 Project 70/100 on exam -Ralph
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
