No, the high cost would start with the cattle ranchers. And since the consumer simply would not pay $45/burger, the demand would fall to almost nothing. Cattle ranchers would decide it wasn't worth doing.
Related would be the conflicting effects on supply of less economies of scale vs being able to utilize only the most efficient means for production (e.g., only the places most fit for it would be producing cattle, meaning that the marginal cost would be lower than in the previously utilized high cost areas, although this wouldn't be sufficient to counteract the original shock, it might help balance the other effects.)