In class is was claimed that at the wealth maximizing output for a price searcher who is making zero (economic) profits, the Average Total Cost Curve must be tangent to the Demand Curve rather than merely be equal to but bisecting the Demand (either from the bottom or top) at that output. Prove or refute that claim. (Assume that there is no price discrimination of any sort; unit prices charged to any buyer, once set, are the same regardless of number of units sold.)