The consumer's utility maximization problem results in a tangency between the budget constraint and an indifference curve, whereas the expenditure minimization problem results in a solution where the indifference curve crosses the budget line.

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The statement is reversed. The consumer's utility maximization problem results in a solution where the indifference curve is tangent to the budget constraint, while the expenditure minimization problem results in a solution where the budget line is tangent to the indifference curve. The consumer's expenditure minimization problem results in a tangency between the budget constraint and an indifference curve, whereas the utility maximization problem results in a solution where the indifference curve is tangent to the budget line.

The Consumer's Utility Maximization Problem Results in a Tangency Between