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1. Consider the CES utility function: U = a(Xd/d) + b(Yd /d) if d¹ 0 and U= a lnX + b lnY if d=0.
a. Assuming d¹ 0, derive the equation for MUx and MUy. Find MRS.
b. What sort of preferences are exhibited when d = 1? ...when d = 0? ...when 0<d< 1?...when 0>d?
2. Assume that U =xy and that Px =$10, Py=$5, and I=$100. Use the Lagrange method to find the first-order conditions and the optimal values (i.e., utility maximizing values) of x and y.
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Assignment Instructions
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