There is no minimum number of circulations which you should print for the magazines. It depends upon the number of subscribers from your magazines. Initially, the 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 a year
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The paper of the 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 the number of subscribers of your magazines. Initially, the number of subscribers to a magazine can be less thereby increasing the per-unit cost of the magazine.
If you have a circulation run of less than 2000 copies for a magazine, then the cost per unit will be high, making the whole idea of printing magazines challenging.