Minimize the function 
subject to the constraint 
.
Definitions:
Preschooler
A child who is in the age group typically between three to five years old, prior to commencing primary school.
Sleep needs
The necessary amount of sleep a person requires to function optimally, varying across age groups and individual needs.
NREM sleep
Non-Rapid Eye Movement sleep, which constitutes the majority of sleep time and is characterized by slower brain waves, reduced heart rate, and relaxed muscles.
Respirations
The act of breathing, which involves the inhalation and exhalation of air to facilitate gas exchange within the body.
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