A publishing company sells 1,250,000 copies of certain books each year. It costs the company $1 to store each book for a year. Each time it must print additional copies, it costs the company $250 to set up the presses. How many books should the company produce during each printing in order to minimize its total storage and setup costs

The Company should produce 25,000 books

Explanation:

The production size that minimizes total storage and setup costs is known as the optimum batch size.

Optimum batch size = √(2 × Annual Production Demand × Set up Cost) / Storage Cost per unit

                                  = √ (2 × 1,250,000 × $250) / $1

                                  = 25,000 books

Conclusion :

The Company should produce 25,000 books during each printing in order to minimize its total storage and setup costs.

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