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A Progressive Optimal Time to Attain a Targeted Profit Function Under Unitary Transformation

Author

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  • Partha Pratim Dube

    (Garalgacha Surabala Vidyamandir, West Bengal, India, 712708)

Abstract

The problem of fastest descent is solved by the calculus of variations. Calculus of variations is a branch of mathematics dealing with the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this idea. Profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a unitary operator. Given two states, the starting profit function and the targeted profit function, there exist different paths belonging to the set. This investigation uses the unitary transformation, which transforms the starting profit function to the targeted profit function in the least possible time.

Suggested Citation

  • Partha Pratim Dube, 2018. "A Progressive Optimal Time to Attain a Targeted Profit Function Under Unitary Transformation," Bulgarian Economic Papers bep-2018-11, Faculty of Economics and Business Administration, Sofia University St Kliment Ohridski - Bulgaria // Center for Economic Theories and Policies at Sofia University St Kliment Ohridski, revised Nov 2018.
    • Handle: RePEc:sko:wpaper:bep-2018-11
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    File URL: https://www.uni-sofia.bg/index.php/eng/content/download/203569/1383577/file/BEP-2018-11.pdf
    File Function: First version, 2018
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    More about this item

    Keywords

    profit velocity; targeted profit function; unitary operator;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

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