While there are a number of economic concepts involved in the scenario you have given here, the most likely answer here is economies of scale.
Economies of scale occur when the average costs of producing a good or service go down as a firm produces more and more of the product. In this sort of case, large firms are at a major advantage when compared to small firms because they have lower average costs. This is what is being described here. The large producers have lower average costs than the small producers so production goes up. This is an example of economies of scale.