A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for $2 and each large beverage sells for $5. Small beverages require 4 lemons and 6 tablespoons of sugar each. Large beverages require 5 lemons and 10 tablespoons of sugar each. She has 100 lemons and 180 tablespoons of sugar. How many of each beverage should she sell to maximize her earnings?
A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for $2 and each large beverage sells for $5. Small beverages require 4 lemons and 6 tablespoons of sugar each. Large beverages require 5 lemons and 10 tablespoons of sugar each. She has 100 lemons and 180 tablespoons of sugar. How many of each beverage should she sell to maximize her earnings?
HINTS: The unknowns are the number of small beverages and the number of large beverages, so your variables x and y should represent these. You'll get one inequality from the number of lemons available, and another inequality from the tablespoons of sugar available. Also, you can't sell a negative number of beverages of either size, so x≥0x≥0 and y≥0y≥0.
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