Discuss the relationship between problems

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Start with an arbitrary utility function u(x1, x2) that is differentiable. Let v (u) is a monotonic transformation of u.

a) Solve: max u(x1, x2) ST : p1x1 + p2x2 = m

b) Solve: max v (u(x1, x2)) ST : p1x1 + p2x2 = m

c) Discuss the relationship between these problems. What characteristics of the utility function are generating this result?

[Hint: To solve 'a)' and 'b)' try to make a Lagrangian function then take FOC; find out the relative price]

Reference no: EM132488482

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