Let the utility function be given by u(x1, x2) = √ x1 + √ x2. Let m be the income of the consumer, p1 and p2 the prices of good 1 and good 2, respectively. (a) Write down the budget constraint and illustrate the set of feasible bundles using a figure. (b) Suppose that m = 24, p1 = 2 and p2 = 4 . Find the optimal bundle for the consumer. In other words, find the combination of x1 and x2 that maximizes the consumer’s utility when the prices are p1 = 2 and p2 = 4, and her income is m = 24. (c) Determine the Marshallian demand function. (d) Determine the expenditure function.
Let the utility function be given by u(x1, x2) = √ x1 + √ x2. Let m be the income of the consumer, p1 and p2 the prices of good 1 and good 2, respectively. (a) Write down the budget constraint and illustrate the set of feasible bundles using a figure. (b) Suppose that m = 24, p1 = 2 and p2 = 4 . Find the optimal bundle for the consumer. In other words, find the combination of x1 and x2 that maximizes the consumer’s utility when the prices are p1 = 2 and p2 = 4, and her income is m = 24. (c) Determine the Marshallian demand function. (d) Determine the expenditure function.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Let the utility function be given by
u(x1, x2) = √
x1 +
√
x2.
Let m be the income of the consumer, p1 and p2 the
(a) Write down the budget constraint and illustrate the set of feasible bundles using
a figure.
(b) Suppose that m = 24, p1 = 2 and p2 = 4 . Find the optimal bundle for the
consumer. In other words, find the combination of x1 and x2 that maximizes the consumer’s
utility when the prices are p1 = 2 and p2 = 4, and her income is m = 24.
(c) Determine the Marshallian demand function.
(d) Determine the expenditure function.
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