Break Even Point Of A Publisher
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Break Even Point Of A Publisher

A publisher finds that the cost of preparing a book for printing and of making the plates is \$5000. Each set of 1000 printed copies costs \$1000. He can sell the books at \$5 per copy. How many copies must he sell to at least recover his costs?

The string:
S7P5A51 (Physical Change).
The math:

Pj Problem of Interest is of type change. Problems of profit, loss and growth are change problems. A break-even problem is a case where cost equals revenue (zero profit-zero loss). So, it can be viewed as of type equilibrium problems (in essence a no-change state). However, it is better to align it with the concept of profit, loss and growth of the marketplace. Where profit and growth are positive changes and a loss is a negative change.
Let x be the number of copies the publisher must sell to at least recover its cost;
Then cost of publishing x copies = 5000 + x
Revenue from sales of x copies = 5x.
So, to at least recover his cost:
5000 + x = 5x
So, publisher must sell, x = 1250 copies.

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