Lorna consumes cans of anchovies, A, and boxes of biscuits,...

Lorna consumes cans of anchovies, $A$, and boxes of biscuits, $B$. Each of her indifference curves reflects strictly diminishing marginal rates of substitution. Where $A=8$ and $B=6,$ her marginal rate of substitution between cans of anchovies and boxes of biscuits equals $-2\left(=M U_{A} / M U_{B}\right) .$ Will she prefer a bundle with seven cans of anchovies and nine boxes of biscuits to her current bundle? Why? A

Key Concepts

Indifference Curves

Indifference curves graphically represent combinations of two goods between which a consumer is indifferent, meaning each bundle yields the same level of satisfaction or utility. Their shape, typically convex to the origin, embodies the idea that consumers are willing to substitute one good for another at a diminishing rate.

Marginal Rate of Substitution (MRS)

The marginal rate of substitution is the rate at which a consumer is willing to give up one good in exchange for an additional unit of another good while maintaining the same level of overall satisfaction. It is often expressed as the ratio of the marginal utilities of the two goods, indicating how many units of one good must be received to compensate for the loss of one unit of the other.

Strictly Diminishing MRS

The notion of strictly diminishing marginal rate of substitution reflects the idea that as a consumer continues to substitute one good for another, the amount of the second good needed to compensate for a further loss of the first good increases. This diminishing willingness to substitute underscores the convex shape of indifference curves and implies that consumers’ preferences change as the composition of the bundle changes.

Utility Maximization and Bundle Comparison

Utility maximization is the analysis behind choosing consumption bundles that yield the highest possible satisfaction given a set of constraints. When comparing bundles, a consumer assesses trade-offs based on the MRS and the effect of moving along indifference curves, ensuring that any accepted trade leads to a higher overall level of utility.

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