1. (25 points) Consider a consumer whose preferences between goods 1 and 2 are represented by the utility function 1L(:1:1,:15'2) : 3:131 + 3:2. 3. (5 points) What type of goods are goods 1 and 2 for this consumer? b. (10 points) Derive this consumer's demand function for good 1 and sketch it. Make sure to label all relewmt points. c. (10 points) Fix p1 = $1 and p2 = $1. What is the equation of the Engel curve for good 1