2. Suppose you have the following utility function: U(q, qy) = q³ xq/3. The the price of good x is Pr, the price of good y is Py, and income 1/3 is m (instead of specific prices/income given in the example video posted: mp4). a) What is the optimal consumption choice of good and good y (i.e. q and q)? b) Show that if you double the income and prices that the choice of outcome (i.e. optimal quantity) does not change. c) Suppose there are 20 consumers in the market with the same preferences and income, what is the market demand for good a given m = $54 and Py = $6?
2. Suppose you have the following utility function: U(q, qy) = q³ xq/3. The the price of good x is Pr, the price of good y is Py, and income 1/3 is m (instead of specific prices/income given in the example video posted: mp4). a) What is the optimal consumption choice of good and good y (i.e. q and q)? b) Show that if you double the income and prices that the choice of outcome (i.e. optimal quantity) does not change. c) Suppose there are 20 consumers in the market with the same preferences and income, what is the market demand for good a given m = $54 and Py = $6?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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