A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for $2 a each large beverage sells for $5. Small beverages require 4 lemons and 6 tablespoons of sugar each. Lar beverages require 5 lemons and 10 tablespoons of sugar each. She has 100 lemons and 180 tablespoons 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 availabl and another inequality from the tablespoons of sugar available. Also, you can't sell a negative number 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:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
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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: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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