conomic Order Quantity $($EOQ$)=$ Square root of $(2$ x D x A $/$ ce$)$

Economic Production Quantity $($EPQ$)=$ Square root of $(2$ x D x A $/$ ce$)$ x Square root of $($p $/($p$-$u$))$

Matt Barkley wants to determine how many of a particular electronic component Samsung should produce. The annual demand for the component is stable and predicted to be $5,000.$ Each time Samsung manufactures the component in its plant, it pays a setup cost of $$48.$ The plant has a daily production rate of $100$ components and works for $250$ days in a year. Samsung can produce each component at a unit manufacturing cost of $$60,$ and the unit inventory holding cost is $25\%$ of this unit manufacturing cost.

Determine the Economic Production Quantity $($EPQ$)$ for Samsung.