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Suppose that Mr. Chauncey Gardener consumes two goods, X1 and X2 .His preferences can be described by the following utility function:
U = X10.5X20.5
He faces the following prices in the market: P1 = $5.00 and P2 = $10.00. His income is $1,000. Assume that he spends all his income.
A. How much will he buy of commodities 1 and 2? Explain your answer.
B. Suppose that the price of commodity 2 rises by $2.50 (from $10.00 to $12.50); what will be the change in the quantities consumed of goods 1 and 2? Explain.
C. In the previous question (part B), take the change in the quantity consumed of commodity 2 and decompose it into an amount associated with the substitution effect and another one connected to the income effect (use the Slutsky decomposition discussed in class).
In answering these questions, remember to provide numerical answers and to explain where your answers come from.
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RATCHET EFFECT
Price/Feeder Quantity Demanded Quantity Supplied $300 500 1800 270 600 1700 240 700 1600 210 800 1500 180 1000 1400 150 1100 1300 120 1200 1200 90 1300 1100 60 1400 1000 30 1500 90
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