a girl is given $15 by her parents. she has two options of how to spend the money. she can either save the money for future purchases or she can start a lemonade stand on her driveway. if she spends all of her $15 on the lemonade stand, there is a 50% probability she will lose $10 ($5 left) and a 50% probability she will profit $12 beyond her initial investment (a total of $27). assuming the girl has a square root utility function, what should the girl do with the money?