Question: Problem 2 Text: Consider utility function w(x, , x, ) = x, + In x, . This utility function is often used to represent the


Problem 2 Text: Consider utility function w(x, , x, ) = x, + In x, . This utility function is often used to represent the tastes of a consumer for whom Good 1 is non-essential, while Good 2 is. Furthermore, we know that this utility function satisfies the standard 5 assumptions about tastes, in particular, the strong version of convexity and monotonicity. Based on this information, answer the following questions (questions 10-15). Questions: 10. Which of the following maps of indifference curves is the one associated to the utility function above? X2 Increasing utility Increasing utility Increasing utility Increasing utility X1 a b d 11. What is the value of the MRS at bundle (3,5)? 12. What is the quantity of Good 1 chosen by the consumer when p,=$10, p2=$1 and /=$20? 13. What is the quantity of Good 2 chosen by the consumer when p1=$10, p2=$1 and /=$20? 14. Now suppose income decreases to /=$5 while prices remain p1=$10, p2=$1. What is the quantity of Good 1 chosen by the consumer? 15. Now suppose income decreases to /=$5 while prices remain p1=$10, p2=$1. What is the quantity of Good 2 chosen by the consumer
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