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Two friends, Lucinda and Carl, are making cookies. They want to produce the maximum number of cookies possible in thirty minutes. The
production process consists of two tasks (before the cookies can be put into the oven): kneading and cutting dough. Naturally, Lucinda and
Carl can only cut a batch of cookie dough after kneading it.
Lucinda takes 7 minutes to knead a batch, and 6 minutes to cut a batch.
Carl takes 6 minutes to knead a batch, and 7 minutes to cut a batch.
If Carl and Lucinda can arrange their production process and split their time between tasks, how many complete batches can they prepare in
thirty minutes?