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28 January, 02:51

The high school band wants to sell two types of cookies, chocolate chip and peanut butter, as a fundraiser. A dozen chocolate chip cookies requires 2 cups of flour and 1 egg. A dozen peanut butter cookies uses 3 cups of flour and 4 eggs. The club has 90 cups of flour and 80 eggs on hand. The profit on the chocolate chip cookies is $1 per dozen and on the peanut butter is $1.50 per dozen. If they want to offer both types of cookies, how many of each cookie should the club make to maximize profits?

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  1. 28 January, 03:00
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    C = Number of Dozens Chocolate Chip Cookies (2 flour 1 egg)

    P = Number of Dozens Peanut Butter Cookies (3 flour 4 eggs)

    90 cups of flour" 2C + 3P < = 90

    80 eggs

    C + 4P < = 80

    Profit on the chocolate chip cookies is $1 per dozen and on the peanut butter is $1.50 per dozen

    Profit C (1.00) + P (1.50)
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