Linda loves buying shoes and going out to dance. Her utility function for pairs of shoes, S, and the number of times she goes dancing per month, T, is U(S + T) = 2ST, so Mus = 2T and Mut = 2S. It costs Linda $50 to buy a new pair of shoes or to spend an evening out dancing. Assume that she has $500 to spend on shoes and dancing What is the equation for her budget line? Draw it (with T on the vertical axis), and label the slope and intercepts. What is Linda’s marginal rate of substitution? Explain. Use math to solve for her optimal bundle. Show how to determine this bundle in a diagram using indifference curves and a budget line
Linda loves buying shoes and going out to dance. Her utility function for pairs of shoes, S, and the number of times she goes dancing per month, T, is U(S + T) = 2ST, so Mus = 2T and Mut = 2S. It costs Linda $50 to buy a new pair of shoes or to spend an evening out dancing. Assume that she has $500 to spend on shoes and dancing What is the equation for her budget line? Draw it (with T on the vertical axis), and label the slope and intercepts. What is Linda’s marginal rate of substitution? Explain. Use math to solve for her optimal bundle. Show how to determine this bundle in a diagram using indifference curves and a budget line
Economics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506725
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter20: Consumer Choice And Elasticity
Section: Chapter Questions
Problem 4CQ
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Linda loves buying shoes and going out to dance. Her utility function for pairs of shoes, S, and the number of times she goes dancing per month, T, is U(S + T) = 2ST, so Mus = 2T and Mut = 2S. It costs Linda $50 to buy a new pair of shoes or to spend an evening out dancing. Assume that she has $500 to spend on shoes and dancing
- What is the equation for her budget line? Draw it (with T on the vertical axis), and label the slope and intercepts.
- What is Linda’s marginal rate of substitution? Explain.
Use math to solve for her optimal bundle. Show how to determine this bundle in a diagram using indifference
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