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what is the relationship between ATC AVC MC MP and market price at the same graph?

what is the relationship between ATC AVC MC MP and market price at the same graph?
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from the graph it can be seen that if ATC decreases AVC decreases and vice versa and when marginal cost or MC meets MR, it is the equilibrium quantity and MR is directly proportional to MP and when it is extended to AR or demand curve market price is obtained and this is the relationship between them .

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