The goal of any firm or business enterprise is almost always to maximize profits and avoid losses. This does not change whether or not the firm is large or small. No firm size necessarily has an advantage in all cases, the firm size that is preferred by the market depends upon the industry and the period, or, more simply put, the mass of consumers. However, a priori we know just this, that there is no great benefit to any particular firm size because costs can rise at about the same rate as the firm size. So, as Tucker said, it could simply be seen as “Adding on more zeroes” to the equation.
So let’s take a super cool scenario with a fixed ratio of costs to profit: “Jon’s Lemonade stand”, which if the poor guy tries really hard he might make 500 dollars in a month. He’s trying to maximize his profits, but he has to spend 450 to buy all of his equipment and other inputs, which means that poor Jon only makes 50 dollars in total profit. Then we have “Mom and Pops Lemonade store” which has a few small areas in parks. They pull in 5,000 dollars but spend 4500, they have made 500 dollars in profit, but their total percentage of profit has not actually risen. Finally we have “Industrial lemonade” which makes 50,000 a month, but spends 45,000 a month. Once again, the total profit margins has not increased, but the total profit has.
Now you might say: “Hey! See this means that Jon’s at a total disadvantage because if he were to, say, reinvest his profits then he’d have much less money to put in”, which is true, but proportionately to everything that he has available to him this 500 dollars would do as much as the 5,000 dollars in profit. It’s also essential to note the potential size of loss increases, so in a real world of uncertainty you might want to take the safer bet and invest your money with Mom and Pop’s Lemonade stand. But at any rate if we assume All else equal then profit here literally is not increasing for each person, because here if we assume a constant ratio of EVERYTHING, like we currently are, then the shares of profits remain constant because we’d have to assume that the amount of ownership increased ten times as well, so ownership of Mom and pop’s store was split between ten people, and “Industrial Lemonade” is divided between 100 (This is especially likely because of the difficulty that often accompanies spending large amounts of money which often necessitates the selling of some sort of stock).
Anyway, in the real world it’s likely that any one of these firms could have a competitive advantage: Jon’s Lemonade Stand could be able to employ friends at a decreased price, or have other friends buy. Jon could be very “In” with events in the town and be able to selectively target areas where he will receive a large amount of businesses, as well as having the freedom to curtail his consumption during periods where lemonade consumption is very small. So his ratio could be 7:3, a very large profit.
Mom and Pop could be very popular with a wide variety of people, and their pretty locations in parks and lack of any major work could mean that people would work at a reduced price there. Furthermore they might be very good at making lemonade, making it a local phenomenon that people from all around would visit when they were near. This might make their Ratio 6:3.5
Meanwhile Industrial lemonade might be big and bulky, it has a hard time employing enough people during parts of the year where lemonade is in full demand and then laying them off in the months when there is little demand. It also has a hard time keeping up efficiency and quality at such a scale, making the lemonade just not that good. This makes their ratio a measly 4.5:4.25.
This is an example of how all enterprises attempt to maximize their profits and that the actual profitability in the real world depends upon the particular aspects of the firm, and in a theoretical world where all conditions increase proportionately an increase in profit margins would not increase, nor would profit returns.
Does that answer your question?