Maximize the function 
subject to the constraint 
.
Definitions:
Emerging Adulthood
A phase of life transition between adolescence and full-fledged adulthood, usually ranging from late teens through twenties, characterized by exploration and uncertainty.
Emerging Adulthood
A life stage between adolescence and full-fledged adulthood, characterized by exploration and instability in jobs, relationships, and identity.
Adolescence
A developmental transition between childhood and adulthood involving significant physical, emotional, and psychological changes.
Young Adulthood
The stage of life following adolescence, roughly between the ages of 20 and 40, characterized by the pursuit of independence, relationships, and career development.
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