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18. Consider an individual with preferences over two goods, x and x, represented by the Constant Elasticity of Substitution utility function u(x, ,x, )= (x,

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18. Consider an individual with preferences over two goods, x and x, represented by the Constant Elasticity of Substitution utility function u(x, ,x, )= (x, + x, )' . The individual has $20 to spend on the two goods. The price of one unit of Good 1 is $1. The price of one unit of Good 2 is P, . Solve for the optimal bundle in terms of p, . In other words, set up the Lagrangian and solve the First Order Conditions in the manner in which you are accustomed. The only difference is that instead of a specific value of p, , it will be a constant variable that appears in your final solutions. 1+ P2 -1/2 1+ P -1/2 AXE 20 20p, 20 20 B. X= 1+ P2 P, (1 + P, C. x =10,x, =0 10 D. X =0, x, =

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