course is operations research 2. show every step clearly. make the calculations step by step please

Julia is a master student and tries to choose one of the Advance Operation Research and Probabilistic Models courses. If she takes the Advance Operations Research course, she believes that she has a 5% chance of receiving an A a a 10% chance for a A; a 25\% chance for a B+, a 25% chance for a B, a 15% chance for a B and a 20% chance for a C+. If Julia takes a probabilistic models course, she has a 45% chance for a B, a 25% chance for a B, a 15% chance for a B, a 10% chance for a C+and 5% chance for a C. Julia's utility function is u(n)=(1213n)2 Where n is fined from the following table If Julia wants to take the course that maximizes the expected utlily of her final grade, which course should she take