Solve the below problem:
Q: Your friend Joe has been spending all of his time in fraternity activities, and thus knows absolutely nothing about any of the three topics on tomorrow's math test. Since you are recognized as an expert on the use of game theory to solve study problems, he has turned to you for advice as to how to spend his "all-niter." As the following table shows, his situation is not so rosy. (Since he knows no linear programming or matrix algebra, the table shows, for instance, that studying game theory all night will not be much use in preparing him for this topic.) Test Joe's strategies Game Theory Linear Programming Matrix Algebra Game Theory 30 0 20 Linear Programming 0 70 0 Matrix Algebra 0 0 70 Assuming that the test will be weighted as described