Problem: Assume that you have two remaining exams, one in an Econ class and one in Underwater Basketweaving (usually taught in the PE department). Assume that you expect to use 12 hours in studying for these tests, but that you must determine how to distribute your 12 hours of study time between these two classes. Your GPA from these two courses can be calculated from the following equation:
GPA = (2/3)(√E + √2U)
where E = # of hrs spent studying for the Econ final, and U = # of hrs spent studying for the Underwater Basketweaving final.
a. How much time should be spent studying for each class? That is, maximize GPA by determining E* and U* subject to the 12 hour study time constraint.
b. Did this allocation of study time maximize or minimize your GPA?