There is no minimum number of circulations which you should print for the magazines. It depends upon number of subscribers of your magazines. Initially, number of subscribers to a magazine can be less thereby increasing the per unit cost of the magazine.
Factors on which cost of printing depends
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Total print run (also called total prints per circulation)
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Number of circulations in an year
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Paper of magazine - thin glossy web offset machine paper or art paper 70 / 80 / 90 / 100 gsm or more
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Printing machine
Number of circulations for magazines
There is no minimum number of circulations which you should print for the magazines. It depends upon number of subscribers of your magazines. Initially, number of subscribers to a magazine can be less thereby increasing the per unit cost of the magazine.
If you have circulation run of less than 2000 copies for magazine, then the cost per unit will be high, making whole idea of printing magazines challenging.