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There are two goods, 1, 2. An individual consumes quantities (q1, q2). He holds endowments (1, 2), with 1 > 0, 2 > 0, and

There are two goods, 1, 2. An individual consumes quantities (q1, q2). He holds endowments (1, 2), with 1 > 0, 2 > 0, and has an income of y > 0. Prices are (p1, p2). 1. Draw the budget constraint faced by the individual, labelling your figure. 2. Suppose the individual is initially a net seller of good 2. Place his consumption bundle on the figure you have just drawn. Is his choice revealed preferred to the bundle (1 + y p1 , 2)? Place that second bundle on your figure. 3. Suppose the price of good 2 increases. Draw the new budget constraint faced by the consumer. 4. Carefully argue, using only revealed preferences, that a net seller of good i will never become a net buyer of good i following an increase in pi . 5. This time suppose the individual is initially a net buyer of good 2. Repeat the steps above to show, only using revealed preferences, that a net buyer of good i will never become a net seller of good i following a fall in pi .

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