Absolute value of the slope of the production possibilities frontier at any point :
MH SET - 2020, SET Exam - 2020,
Answer: A
The absolute slope of the production possibilities frontier is equal to the marginal rate of transformation.
The frontier shows the combinations of two goods an economy can produce with given resources. Its slope tells how much of good Y must be given up to produce one more unit of X, and that rate is by definition the marginal rate of transformation, \(MRT_{XY} = |dY/dX|\).
The marginal rate of substitution is the slope of an indifference curve, a matter of preferences, not production. The equality MRS = MRT is the condition for the best point on the frontier, not a description of its slope at any point, and the last option compares MRS with itself.
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