I. 3. Consider a consumer with the following preferences: Utr, y) : 2010ga: + 9 who face prices pm : 10, pg : 10, and has wealth to : 100. (a) Write the consumer maximization problem, with all constraints. 5 points. (b) Construct the Lagrangian, and solve for the optimal choices of :1: and y. Verify that you have included the appropriate constraints. 15 points