# Suppose Paul's utility depends on the amount of time spent playing on the Internet (x) and...

###### Question:

Suppose Paul's utility depends on the amount of time spent playing on the Internet (x) and the amount of time playing video games (y), and his utility function is U(x,y) = xy/(x+y). He has 20 hours of free time to spend on these two activities each week, and his goal is to maximize his utility. What is the optimal amount of time spent surfing the Internet and playing video games each week?

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