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Suppose an individual's budget and prices of commodities she faces are respectively I = 50,px = 2,py =3.

  1. If the individual's utility function is given by U(x,y) = √xy. What's her preferred consumpution bundle?
  2. If the individual's utility function is given by U(x, y) = x2 +y2. What's her preferred consumpution bundle?

(Hint: make sure you check the corner points)

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