pauls utility function is ux y xy2 let unit, Econometrics

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pauls utility function is ux y xy2 let unit

Paul's utility function is u(x, y) = xy². Let unit prices be given by Px = 6 cents, Py = 2 cents, and assume that Paul's budget is the same as Peter's from the previous problem: he has $9 to spend on coffee and sugar. Find Paul's best choice. Illustrate it graphically.

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