Kari is making baked goods for a party. Each batch of cookies use 2 eggs and 4 cups of flower. Each batch of cupcakes use 4 eggs and 3 cups of flower. Kari has 2 dozen eggs and 30 cups of flower on hand.  How many batches of each should Kari make to maximize the amount of servings?  If a single batch of cookies and cupcakes makes 12 servings, how many servings will she have if she maximizes her amount?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Kari is making baked goods for a party. Each batch of cookies use 2 eggs and 4 cups of flower. Each batch of cupcakes use 4 eggs and 3 cups of flower. Kari has 2 dozen eggs and 30 cups of flower on hand. 

How many batches of each should Kari make to maximize the amount of servings? 

If a single batch of cookies and cupcakes makes 12 servings, how many servings will she have if she maximizes her amount? 

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