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A bakery makes both
cakes and cookies. Each batch of cakes requires two
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room. Each batch of cookies needs one and a half
hours in the oven and two-thirds of an hour in the
decorating room. The oven is available no more than
15 hours a day, while the decorating room can be used
no more than 13 hours a day. How many batches of
cakes and cookies should the bakery make in order to
maximize profits if cookies produce a profit of $20 per
batch and cakes produce a profit of $30 per batch?