Answer: The marginal cost curve intersects the minimum of the average variable cost and average total cost curves
Explanation:
The Marginal Cost will originally be less than the Average Total and Variable Cost curves because as long as it is low, the AVC and ATC will be falling because of the influence Marginal Cost has on the TC and VC.
When the Marginal Cost starts to rise however due to Diminishing Marginal Returns, it will pull up both the ATC and the AVC. Because of this it will have to cross them at their lowest amount and then start pulling them up.
I have attached a graph to depict the phenomenon I have just explained.
Notice where the Marginal Cost curve intersects both the ATC and the AVC.
