1. A consumer with the utility function U(x₁,x₂) = xx faces prices p₁ = 4, P2 = 5 and has an income of $200. For this consumer, holding prices fixed: a. Derive an expression for the Engel Curve for x₂. b. Plot this Engel curve. c. Holding p₁ and m fixed, plot this consumer's demand curve for x₂.

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