Suppose a consumer's preferences over commodities 1 and 2 can be represented by the utility function , where . The prices of the two commodities are 1 and 2 respectively and the consumer's income is 150.
Suppose the price of commodity 2 reduces to 1 while the price of the other commodity and the consumer's income remain unchanged. The income effect according to Slutsky of this price change on the optimal amount of commodity 1 is
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