A consumer has utility u(x1, x2) = 2x2 + x1 Normalize the price of good 2...
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A consumer has utility u(x1, x2) = 2x2 + x1 Normalize the price of good 2 to 1 and let pj be the price of good 1 and m the consumer's income a) Find the consumer's marginal rate of substitution b) Find the consumer's optimal choice for p₁=1 and m=8 c) Obtain the consumer's optimal demand as a function of p1 and m d) Assume p₁=1 and m-8 (and as always price of good 2 is normalized to 1). Suppose the store where the consumer buys good 1 offers a Black Friday discount: price of good 1 is 1/4 on the first 4 units bought. What is the consumer's optimal choice now? Also, assuming the following week the consumer has the same preferences and a new m-8 income to spend, how much, at most, would she be willing to pay in order to keep the discount in place? (Hint: draw carefully the budget line} A consumer has utility u(x1, x2) = 2x2 + x1 Normalize the price of good 2 to 1 and let pj be the price of good 1 and m the consumer's income a) Find the consumer's marginal rate of substitution b) Find the consumer's optimal choice for p₁=1 and m=8 c) Obtain the consumer's optimal demand as a function of p1 and m d) Assume p₁=1 and m-8 (and as always price of good 2 is normalized to 1). Suppose the store where the consumer buys good 1 offers a Black Friday discount: price of good 1 is 1/4 on the first 4 units bought. What is the consumer's optimal choice now? Also, assuming the following week the consumer has the same preferences and a new m-8 income to spend, how much, at most, would she be willing to pay in order to keep the discount in place? (Hint: draw carefully the budget line}
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ANSWER a The marginal rate of substitution MRS is given by the ratio of the marginal utilities of th... View the full answer
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
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