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?

Question

Mathematics

Chelsea Blevins

17 June, 10:16

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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Answers (1)

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Madison Sheppard · Answer 1

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)