Derivation of the Optimal Solution for the Economic Production Quantity Model with Planned Shortages without Derivatives

In this paper, we study a reformulation of the Economic Production Quantity (EPQ) problem. We more general version problem first and derive conditions for an optimal solution, as well solution itself, all without using derivatives. Then, apply approach to reformulated EPQ This has been tackled by number researchers, wherein they have derived proposed algebraic derivations. However, their derivations conditions, shown be questionable. Other than being questionable, existing approaches are so complicated that defeat purpose simplifying optimization derivative-free approach. propose correct succinct, much less