Question

Mention the relationship between marginal rate of substitution and marginal utility.

Give the relationship between marginal utility and marginal rate of substitution.

Answer 1

The Marginal Rate of Substitution (MRS) is the rate at which a consumer is willing to exchange one good for another while maintaining the same level of overall satisfaction. It is calculated as the ratio of the Marginal Utility (MU) of one good to the Marginal Utility of the other, given by the formula `MRS_(XY) = (MU_X)/(MU_Y)`.

MRS diminishes as more of one good is consumed due to the Law of Diminishing Marginal Utility, which states that the additional satisfaction from each extra unit of a good decreases as consumption increases. This results in the typical convex shape of indifference curves.

MRS is always negative, reflecting the trade-off between two goods, but it is usually expressed as a positive number to highlight the rate of substitution. It also serves as the slope of the indifference curve, indicating the consumer's willingness to substitute between goods.