[Solved] Consider the utility function u(x_1, x_2)=2 √x_1+4 √x_2. Find the Marshallian demands for goods 1 and 2 . Find the indirect utility


Question: Consider the utility function \(u\left(x_{1}, x_{2}\right)=2 \sqrt{x_{1}}+4 \sqrt{x_{2}}\).

  1. Find the Marshallian demands for goods 1 and 2 .
  2. Find the indirect utility function \(\nu(p, w)\).
  3. Find the expenditure function \(e(p, u)\).
  4. Find the Hicksian demands for goods 1 and 2 .

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