Question
You're in a market, you can either invest in a stock or bet at the casino in $\$100$ increments. Each increment is a unit, you can't purchase a fraction of a unit. If you invest in the stock, then it goes up or down. If it goes up in value, you gain an additional $100$ dollars per unit. If it goes down, you lose $50$ dollars per unit. $$$$ Also, you can bet on whether the stock will go up or down at the casino, where you either win $100$ per unit if you're right or lose all $100$ if not. Devise a strategy where you will always make a profit. Find the guaranteed profit if you hold a minimal amount of total units.