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1) Given U = (x+1/2)(2y+3) and Px = 4, Py = 5, and B = 90=4x+5y=90 a) Write the Lagrangian function b) Find the optimal

1) Given U = (x+1/2)(2y+3) and Px = 4, Py = 5, and B = 90=4x+5y=90

a) Write the Lagrangian function

b) Find the optimal values of x* and y*

c) Is the second-order sufficient condition for maximum satisfied?

d) Does the answer in (b) give any comparative-static information? What?

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