A student taking economics, statistics, and finance has decided to spend 9 hours per week studying. The objective is to maximize the average grade, which means maximizing the total grade in the three courses. The table shows the student's estimate of the relation between time spent studying each course and the grade for each course.
Hours of Study Economics Statistics Finance
0 50 42 56
1 62 54 68
2 71 64 76
3 79 72 82
4 85 80 87
5 88 84 90
6 90 87 93
7 92 89 95
1. How should the student allocate her time?
2. What is the maximum AVERAGE grade the student can earn if she studies 9 hours per week?