1. (10 points) All utilities are measured in TLs. Driving below the speed limit yields the utility u, violating the speed limit yields the utility u + B. *If I drive below the speed limit, the police may wrongfully impose a fine of F TLS, with probability r. * If I violate the speed limit I will be detected with probability p and pay the fine F, and pay no fine if I am not detected. Assume p > r. Let Fmin be the lowest F such that I will not violate the speed limit. Obtain the formula for Fmin. What happens as r approaches p? Comment.