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Use Lagrange Multipliers to Find the Maximum and Minimum Values f(x,y,z)=5xy5zf ( x , y , z ) = 5 x - y - 5 z \quad

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Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y,z)=5xy5zf ( x , y , z ) = 5 x - y - 5 z \quad subject to the constraints x+2yz=0x + 2 y - z = 0 and x2+4y2=1x ^ { 2 } + 4 y ^ { 2 } = 1 .


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Efficiency Wage Theory

Explanation for the presence of unemployment and wage discrimination which recognizes that labor productivity may be affected by the wage rate.

Productivity

The measure of the efficiency of production, often quantified as output per unit of input.

Wages

Wages are the payments made to labor for their services, typically calculated on an hourly, daily, or piecework basis, and are a primary form of income for employees.

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