Question: Sidney only gets utility from commodities xl and x2 and preferences over these two commodities can be represented by the utility function, U(x, x)

Sidney only gets utility from commodities xl and x2 and preferences over 

Sidney only gets utility from commodities xl and x2 and preferences over these two commodities can be represented by the utility function, U(x, x) = (x+x2)/2. Sidney maximizes her utility subject to her budget constraint. If pl=$2 and p2-$4 and her income is $20, what commodity bundle will she choose? Prove your answer carefully.

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