For the next three questions, suppose that a consumer maximizes the utility function U(x1; x2)=In(x1- 5) + In(x2) subject to the usual budget constraint P1 x1 + P2 x2 = Y Find the demand fun Select one: a. Y + 5P1 Y + 5P1 01 = 12 = 2P1 2P2 O b. Y - 5P1 Y +5P1 01 = 2P1 2P2 O C. Y - 5P1 Y - 5P1 X 2 2P1 2P2 O d. Y + 5P1 Y - 5P1 T2 = 2P1 2P2 Is good 1 normal or inferior? Select one: O a. inferior O b. normal Is good 2 normal or inferior? Select one: O a. inferior O b. normalFor the next two questions, consider a consumer with utility function U(x1, X2) = X1+x1X2+x2 who obeys the standard budget constraint P1x1 + P2x2 = Y . Formulating the problem formally, the consumer solves: max X1 + X1X2 + X2 s.t. P1X1 + P2X2 = Y Solve for optimal x1 and X2. Select one: Da. Y - P1+P2 Y + P1 - P2 D = 12 = 2P1 2P2 O b. Y + P1 - P2 Y + P1 - P2 12 = 2P1 2P2 O c. Y - P1+ P2 Y - P1 - P2 X2 = 2P1 2P2 O d. Y - P1 - P2 Y + P1 - P2 I2 = 2P1 2P2 Are goods x1 and x2 substitutes or complements? Select one: O a. substitutes O b. neither O c. both O d. complements