I always despised those flippant little sections of finance texts that summarily discounted the value of IRR because it has more than one solution in some cases or isn't a perfectly elegant mathematical solution.

Chase the property, and you will lose money.Now, as far as the "potential" of there actually being other offers that came in goes, that shouldn't matter since this isn't a contest...it's a mathematical formula based on the answer (profit/cash flow) and not on the question (getting the property). 

I calculated what it was worth based on average price per square foot, than gave it a 10% hair cut because it's the largest house in the neighborhood and the mathematical result would have priced the house out of the neighborhood.

There's a mathematical approach but it's complicated statistics.

. $500,000 versus similar gain in S&P and househacking.Househacking is greatly exceeded S&P return in any environment.I think mathematically speaking only househacking strategy that can outperfom any other investment in the long run.

A credit score is the result of a mathematical computation.

It is a provable proposition and my point can actually be mathematical proven to be correct.

I changed my major in college back in the day because I couldn't handle minoring in mathematics. 

On the surface, your purchase and rental price spreads look nice but your stated financial terms are all over the place , particularly the 2 separate dollar values you provided for net worth (net worth is not variable but rather a single mathematical integer) and Cash Flow.

This is instant return to your family and if you eliminate 18% interest on a credit card, that is a hard return to match with the amount of effort it takes.Third, I would make sure you have an emergency fund so that you can pay for any unplanned expenses that arise.You can focus on the highest interest rate debt first, which makes the most mathematical sense, or you can eliminate the smallest debt first for a feeling of accomplishment (Dave Ramsey method).Also, I am a firm believer that you cannot cut your way to prosperity.