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Production Function, Least-Cost Combination of Resources, and Profit Maximizing Level of Output

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Principles of Mathematical Economics

Part of the book series: Mathematics Textbooks for Science and Engineering ((MTSE,volume 3))

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Abstract

The fundamental concept related to the supply side of an economy is the production function. A production function relates the maximum quantity of output that can be produced from given quantities of inputs.

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Notes

  1. 1.

    Later in the chapter we adopt \(w\) as the wage rate and \(r\) as the rental cost of a unit of capital.

  2. 2.

    Durand, D. (1937). Some thoughts on marginal productivity, with special reference to professor Douglas’ analysis. The Journal of Political Economy, 45(6), 740–758.

  3. 3.

    Ibid.

  4. 4.

    Readers should be aware of the difference between “innovation” and “invention” pertaining to production processes.

  5. 5.

    A slightly fancier term than total variable cost \(TVC\).

  6. 6.

    Commonly L or script L (\(\mathcal {L}\)) is used for the Lagrangian function. Since we use L for labor it is denoted here by \(Y\).

  7. 7.

    By building more facilities or through merger and acquisition.

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Correspondence to Shapoor Vali .

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Vali, S. (2014). Production Function, Least-Cost Combination of Resources, and Profit Maximizing Level of Output. In: Principles of Mathematical Economics. Mathematics Textbooks for Science and Engineering, vol 3. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-036-2_10

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