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In: Economics

Assume the following constrained utility maximization problem. U = (z + 2)(m + 1) subject to...

Assume the following constrained utility maximization problem.
U = (z + 2)(m + 1) subject to I = zPz + mPm

(a) Find the values that optimize the utility function.
(b) Find the lagrangian multiplier
(c) Determine the concavity of the utility function
(d) Determine how does the optimal allocation of m and z change when the price of m increases.

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