Question on: JAMB Economics - 2002

In the diagram above, the marginal rate of substitution of X for Y, for a movement from S to T is

13:3

1:5

18:4

5:1

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Correct Option: D

The marginal rate of substitution (MRS) of X for Y is the amount of Y that a consumer is willing to give up to obtain one more unit of X, while remaining at the same level of utility. It is calculated as the change in Y divided by the change in X, but it is a ratio, not a single value.

At point S, the consumer has 4 units of Y and 3 units of X.
At point T, the consumer has 3 units of Y and 8 units of X.

The movement from S to T involves giving up 1 unit of Y (4-3=1) and gaining 5 units of X (8-3=5).

Therefore, the MRS of X for Y is calculated as the change in Y (1) divided