Find the complete optimal solution to this linear programming problem. 
Definitions:
Free Schooling
Education provided without charge to students, typically funded by the government.
Opportunity Cost
The penalty of missing potential gains from other paths by choosing a certain option.
College Expenses
The costs associated with attending college, including tuition, fees, books, and living expenses.
Lodging
Accommodation in hotels, motels, or any other establishment that provides a place to stay for a short period.
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