Preference relation monotone

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Chen's preference relation is represented by a utility function u(x1,x2) := (2/3)lnx1+x2 for any nonnegative consumption bundle (x1,x2). The price of good 1 is $3 and the price of good 2 is $9. Denote m for the amount of income given to Chen. Is Chen's preference relation monotone? exhibiting diminishing MRS? smooth? having vertically parallel indifference curves?

Reference no: EM132478864

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