The entry fee problem

Last night, I played KO NLHE well, but not well enough to make a profit. I ran into a problem I've run into before, when I played sit and gos. I call it the entry fee problem. Briefly stated, it's that there are certain poker style and flavor combinations where the entry fee makes it impossible to make a profit over the long run. SNG NLHE is one such combination, and KO NLHE is another. The entry fee is a double dip, since it not only takes your money on the front end, but on the back end as well, since it reduces the size of the prize pool. It's financial madness to play combinations which have the entry fee problem, so I must regretfully give up KO NLHE. To illustrate my point, if there were no entry fee, I would have made a profit of $7,500 last night, instead of losing $23,625. This reminds me of a great quotation from "David Copperfield":

"Annual income twenty pounds, annual expenditure nineteen nineteen and six, result happiness. Annual income twenty pounds, annual expenditure twenty pounds ought and six, result misery."

style flavor buy_in entry players hands entries paid place winnings

KO    NLHE    42500  7500       9     9       9    3     4        0
KO    NLHE    42500  7500       9    22       9    3     3    38250
KO    NLHE    42500  7500       9    16       9    3     3    38250
KO    NLHE    42500  7500       9    50       9    3     2    99875

delta: $-23,625
KO NLHE balance: $-234,064
2019 balance: $2,186,750
balance: $48,771,010