Using a decision tree, determine how Katie can maximize her total (long run) earnings at SA. I've drawn part of the tree to help you. This part is when Katie decides to take only one exam (Exam 1) in year 1 of her contract. Take Exam 1 (only) in Year 1 234275 0.9 Pass Exam 2&3 0.15 1255000 Pass Exam 2 05 1240000 Take Exam 28 In Year 2) 887000 0.35 225000 Paas Neither Passed Exam 1 996250 Take Exam 2 (ony) In Year 2) Did not Pass Exams 1 0.1 Pass ban 2 0.75 1240000 0.25 906250 225000 Did not Pass Passed Exam 1&2 0.25 1230000 Passed Exam 1 0.6 215000 Note: Must Take Exam 182 In Year 2 466500 Passed Neither Exars 0.15 200000 Draw the remaining part of the tree, roll back the tree, and determine an optimal strategy. Incorporate my part of the tree in your decision strategy, but you do not need to redraw the part above.