Use Lagrange multipliers to find the maximum and minimum values of the function 
subject to the constraints 
and 
.
Definitions:
Labor Unions
Organizations formed by workers from related fields that work for the betterment of their members' employment conditions.
Proprietors' Income
Earnings received by owners of unincorporated businesses from their business activities.
Total Income
The combined earnings from wages, investments, and other sources before any deductions are made.
Wages & Salaries
Payments made to employees for their labor or services, typically on an hourly or annual basis.
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