3. As far as Anton is concerned, there are two types of women in the world, those he enjoys to spend time with (he thinks of them as Good) and those he does not enjoy to spend time with (he thinks of them as Bad). Therefore, he will go on a date with a Good woman, but not with a Bad woman. All women want to go on a date with Anton. Doing so give them 15 units of happiness, while being denied a date gives them no happiness at all. To woo him, women can pick wildflowers for Anton. The quantity of flowers is denoted by f > 0. Anton's feelings about women are reciprocated, so picking flowers for him is more arduous for the Bad than for the Good. The cost of picking flower is equal to , = f and , =31, respectively. a) Suppose that Anton can tell whether a woman is Good or Bad. Would any pick flowers for Anton? b) Suppose instead that Anton is unable to tell whether a woman is Good or Bad. Find the smallest quantity of wildflowers that Good women must give Anton to convince him that they are good. c) Are Good women better or worse off in the outcome in a) compared to b)? What about Bad women