1) Elaine wants to keep a good balance of soup and Jujyfruit (a delicious fruit flavored candy) in her diet. Her preferences over bundles of soup and Jujyfruit are represented by the quasi-linear utility function U(S,J) = J0.5 + S, where S and J denote the quantities of soup and Jujyfruit, respectively (Assume fractional quantities of each good can be consumed). Let Ps & Pj denote the prices of the goods and Y denote Elaine's monthly income for spending on these goods. For this exercise, treat soup as the x-axis good. a) Find Elaine's Marshallian demand for soup and Jujyfruit. Is soup a normal or an inferior good? Justify your answer using calculus. Also, calculate the derivative of Marshallian demand for Jujyfruit with respect to income and briefly explain what this implies about the relationship between the demand for Jujyfruit and income for Elaine. b) Now, assume P, = $5 and Ps = $10 and Y = $150. Let U denote Elaine's utility when consuming the Marshallian demanded quantities of Jujyfruit and soup given these prices and income. Use your answers from part a to calculate the value of U. c) Imagine that the price of soup increases to P's=$15. What is Elaine's Hicksian (Compensated) demand %3|

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