Ethan likes to play basketball and he likes to play soccer. His happiness function as a combination of basketball and soccer can be written as H=x*eʸ, where x is the hours he spends playing basketball and y is the hours he spends playing soccer. Unfortunately, he is constrained by school and other responsibilities and only has 10 hours total in a week to split between playing basketball and playing soccer. How can Ethan maximize his happiness?



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