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A bakery makes both

cakes and cookies. Each batch of cakes requires two

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hours in the oven and three hours in the decorating

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?

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