For the utility function U (x, y) = 12ln(x) + y: (a) Find X∗ and Y ∗ demand functions (b) Draw a graph in the (x, y) plane with 3 Indifference Curves and 3 Budget Constraint such that each Indifference Curve is Utility Maximizing. Identify each of these points. (c) Draw the Engel Curves for Y ∗ (d) Calculate the derivatives of X∗ and Y ∗ with respect to inco

ENGR.ECONOMIC ANALYSIS
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For the utility function U (x, y) = 12ln(x) + y: (a) Find X∗ and Y ∗ demand functions (b) Draw a graph in the (x, y) plane with 3 Indifference Curves and 3 Budget Constraint such that each Indifference Curve is Utility Maximizing. Identify each of these points. (c) Draw the Engel Curves for Y ∗ (d) Calculate the derivatives of X∗ and Y ∗ with respect to income and classify the good (e) Calculate the Elasticities of Demand with respect to Income and classify the

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