Consider a student studying for exams in 2 courses, and who wishes to maximize her grade average for the two courses, (g₁+g₂)/2. She estimates that her grades in both courses are a function of how much she studies for them which is represented by:

g₁(t₁)=20+20(t₁)^1/2

g₂(t₂)=-80+3(t₂₎

assume she can't study more than 60 hours on the two exams.

A. Set up the Lagrange