Please write clearly and show all formulas explaining how you did them. I am new to these topic. Much appreciated!

2. The week of final exams at the University of Regina has finally arrived. You need to make wise choices to obtain the best grades in the courses that you are taking. Suppose that you are taking Econ 201 and Portuguese 101 this winter term. You have six hours to study for these two final exams tomorrow. The following table shows how hours of study and grades are related: Econ 201 Portuguese 101 Hours Grade Hours Grade 0 58 0 52 66 58 2 73 2 63 3 79 3 67 4 84 4 70 5 88 5 72 91 6 73 2.1. What is the optimal number of hours of study for Econ 201 and Portuguese 101. Treat each point on an exam as 1 unit of utility and assume that you consider an extra point on an economics exam to have the same value as an extra point on a Portuguese exam. (2 marks) 2.2. Now suppose that you are an International Business major and that you value each point you earn on a Portuguese exam as being worth two times as much as each point you earn on an economics exam. Now how many hours will you study each subject? (2 marks) 2.3. Now suppose that you are an Economics major and that you value each point you earn on an Economics exam as being worth three times as much as each point you earn on an economics exam (you still value a point earn on a Portuguese exam as in 2.1). Now how many hours will you study each subject. (2 marks) 2.4. Graphically represent the optimal decisions in 2.1 and 2.2. (2 marks)