Which statement accurately describes the consumer’s optimal consumption choice? At this optimum point:

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The gradient of the indifference curve matches the gradient of the budget lineThe indifference curve just touches the budget lineThe marginal rate of substitution equals the ratio of the prices of the two goodsNone of the provided statements are correctAll of the above statements are correct

Explanation

At the consumer’s optimum consumption bundle, the slope of the indifference curve equals the slope of the budget constraint, meaning the indifference curve is tangent to the budget line. This implies the marginal rate of substitution between the two goods is equal to their relative prices. Therefore, all the given statements accurately describe the consumer’s optimal choice.