Question: A consumer's utility function is given by U(x 1 , x 2 ) = 2x 1 x 2 + 3x 1 where x 1 and

A consumer's utility function is given by U(x₁, x₂) = 2x₁x₂ + 3x₁ where x₁

and x₂ denote the number of items of two goods G1 and G2 that are bought. Each item costs $1 for G1 and $2 for G2. Use Lagrange multipliers method to find the maximum value of U if the consumer's income is $83.

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