Given prices for the two inputs as w1 = 1, w2 = 2, find the cost function of the (attached) production function.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Given prices for the two inputs as w1 = 1, w2 = 2, find the cost function of the (attached) production function.

The given mathematical function is:

\[ f(x_1, x_2) = 3x_1^{\frac{1}{2}}x_2^{\frac{2}{3}}. \]

This function is a multivariable function \( f \) that takes two inputs, \( x_1 \) and \( x_2 \). It is defined as 3 multiplied by \( x_1 \) raised to the power of \( \frac{1}{2} \), and \( x_2 \) raised to the power of \( \frac{2}{3} \). This form suggests the function is a type of product of power functions, commonly studied in calculus and optimization contexts.
Transcribed Image Text:The given mathematical function is: \[ f(x_1, x_2) = 3x_1^{\frac{1}{2}}x_2^{\frac{2}{3}}. \] This function is a multivariable function \( f \) that takes two inputs, \( x_1 \) and \( x_2 \). It is defined as 3 multiplied by \( x_1 \) raised to the power of \( \frac{1}{2} \), and \( x_2 \) raised to the power of \( \frac{2}{3} \). This form suggests the function is a type of product of power functions, commonly studied in calculus and optimization contexts.
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