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Marginal product of input xi= \begin{equation} \frac{\partial f }{\partial x _{i}} \end{equation}

Decreasing return to scale: f(tx,ty) < t f(x,y) for t>1

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Yes: $$ f(x_1,x_2)=-x_1x_2 $$ has constant marginal return in both inputs and decreasing return to scale by your definition.


EDIT: Answer above assumes OP meant "constant" as constant w.r.t. the input whose marginal product we are talking about. For totally constant, see the the answer to the duplicate question.

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  • $\begingroup$ This makes sense. Thanks! :) $\endgroup$
    – dilemma
    Sep 23 '21 at 0:42

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