Consider the following Cobb-Douglas utility function

U(X1, X2)= X12X22

P₁= 10, P2= 5

Where x₁ and x₂ are the two goods and P₁ and P₂ are their respective prices.

(i) Determine the optimal choice of consumption of x1 and x2

(ii) Find the expression for Indirect Utility Function

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