Utility function: U (x,y) = 2x +y (x 2 0,y 2 0) Constraint: 2x+py = m a) Show that the utility function is concave. b) Find the Lagrange multiplier. c) Derive the utility maximizing demand function...


Utility function: U (x,y) = 2x +y (x 2 0,y 2 0)<br>Constraint: 2x+py = m<br>a) Show that the utility function is concave.<br>b) Find the Lagrange multiplier.<br>c) Derive the utility maximizing demand function for good y as a function of (p, m).<br>d) Find the homogeneity of the function you derived above.<br>e) Find aU/am and comment on your answer.<br>

Extracted text: Utility function: U (x,y) = 2x +y (x 2 0,y 2 0) Constraint: 2x+py = m a) Show that the utility function is concave. b) Find the Lagrange multiplier. c) Derive the utility maximizing demand function for good y as a function of (p, m). d) Find the homogeneity of the function you derived above. e) Find aU/am and comment on your answer.

Jun 03, 2022
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