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Solve the following linear programming problem by using the Simplex Method 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 > 0 and y > 0. Number of small beverages: Number of large beverages: Redo the same problem assuming that the price of large beverages is $3 instead of $5. Number of small beverages: Number of large beverages:

Solve the following linear programming problem by using the Simplex Method 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 > 0 and y > 0. Number of small beverages: Number of large beverages: Redo the same problem assuming that the price of large beverages is $3 instead of $5. Number of small beverages: Number of large beverages:

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 32E
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Solve the following linear programming problem by using the Simplex Method 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 > 0 and y > 0. Number of small beverages: Number of large beverages: Redo the same problem assuming that the price of large beverages is $3 instead of $5. Number of small beverages: Number of large beverages:
Transcribed Image Text:Solve the following linear programming problem by using the Simplex Method 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 > 0 and y > 0. Number of small beverages: Number of large beverages: Redo the same problem assuming that the price of large beverages is $3 instead of $5. Number of small beverages: Number of large beverages:
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