Solution
Option 1 -> The factor proportion changes when one factor is kept constant while another is varied, which is the foundation of the law of variable proportions.
Option 2 -> Decrease in all inputs relates to returns to scale, not the law of variable proportions.
Option 3 -> Increase in all inputs also relates to returns to scale, not the law of variable proportions.
Option 4 -> If all factors remain constant, there is no change in production and no law of proportion arises.
Hence, Option 1: Factor proportion changes with keeping one factor constant -> The law of variable proportions (also called the law of diminishing returns) arises because in the short run, at least one factor of production remains fixed (like land, machinery, or capital) while other factors (like labor) are variable. As we keep adding more of the variable factor to the fixed factor, the ratio or proportion between them continuously changes. This changing factor proportion is the core reason why initially output increases at an increasing rate, then at a decreasing rate, and eventually may decline. This is a short-run phenomenon where factor proportions are variable, unlike returns to scale which considers long-run changes where all factors change proportionately. -> correct