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Input-output (Leontief) production function is widely used in economic analysis.And diminishing marginal rate of return is a very well accepted economic fact.Leontief production function normally results in a linear production possibility frontier (PPF) due to its linear feature,whereas diminishing marginal rate of return implies a non-linear PPF.In this paper,the authors aim to fix this problem by considering multiple primary inputs in a simplified two-sector economy.The authors find that it is possible to curve a non-linear PPF by using Leontief production function when the authors add heterogeneous primary inputs.The authors also discuss the PPF using non-linear production function.Furthermore,the authors propose that three commonly used economic presumptions cannot hold in the same framework.These presumptions are “single primary input”,“fixed-proportion inputs” and “law of diminishing marginal returns”.