Advanced Widget Systems Corporation has two divisions: manufacturing and sales. A widget is an expensive semiconductor-based device that looks high-tech and performs no useful function. These properties make widgets very popular with corporate executives. In the widget industry, when a new worker is hired both he and his supervisor are equally ignorant about his ability. There is no skill involved in making and marketing; however, natural ability matters a great deal. An individual assigned to marketing either sells 12 widgets a year or he sells nothing. Similarly, a production worker is either able to produce 12 widgets a year or he is not able to produce any widgets at all. It is known that: