At a small family reunion, there are four cousins: Akira, Kinji, Yumi, and Hiroko. Each cousin has a favorite dish which they have to cook for the reunion: Akira is preparing sushi, Kinji is preparing tempura, Yumi is preparing miso soup, and Hiroko hasn't decided yet. Only two of the cousins, Akira and Yumi, decide to make a combined dish of sushi with a side of miso soup. Kinji decides to make his dish independently. On the day of the reunion, Hiroko states she will not cook anything that another cousin is making. Explain the relationships between the cousins and their respective dishes, including who collaborates with whom. Also, explain the possible dishes Hiroko could prepare.
Respond very briefly.
Akira and Yumi have established a collaboration, working together to make a combined dish of sushi and miso soup. Kinji is independent in his effort and is preparing tempura on his own, separate from Akira and Yumi's collaboration. Hiroko has decided not to cook anything that another cousin is already making, which rules out sushi, tempura, and miso soup for her. Since these are the only dishes mentioned as being prepared by the cousins, Hiroko's options are limited to any dish that is distinct from these three. Any dish she chooses must be different from sushi, tempura, and miso soup to adhere to her criterion of not cooking anything that another cousin is making.