each Type 2 layout and $60 for each Type 3 layout. He has 1000 tulips, 800 daffodils, and 100 flowering shrubs. How many layouts of each type should be used to yield maximum profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 17P
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Formulate the following as a linear programming problem: A
greenhouse operator plans to bid for the job of providing flowers for
city parks. He will use tulips, daffodils, and flowering shrubs in three
types of layouts. Type 1 layout uses 30 tulips, 20 daffodils, and 4
flowering shrubs. Type 2 layout uses 10 tulips, 40 daffodils, and 3
flowering shrubs. Type 3 layout uses 20 tulips, 50 daffodils, and 2
flowering shrubs. The net profit is $50 for each Type 1 layout, $30 for
each Type 2 layout and $60 for each Type 3 layout. He has 1000 tulips,
800 daffodils, and 100 flowering shrubs. How many layouts of each
type should be used to yield maximum profit?
Transcribed Image Text:Formulate the following as a linear programming problem: A greenhouse operator plans to bid for the job of providing flowers for city parks. He will use tulips, daffodils, and flowering shrubs in three types of layouts. Type 1 layout uses 30 tulips, 20 daffodils, and 4 flowering shrubs. Type 2 layout uses 10 tulips, 40 daffodils, and 3 flowering shrubs. Type 3 layout uses 20 tulips, 50 daffodils, and 2 flowering shrubs. The net profit is $50 for each Type 1 layout, $30 for each Type 2 layout and $60 for each Type 3 layout. He has 1000 tulips, 800 daffodils, and 100 flowering shrubs. How many layouts of each type should be used to yield maximum profit?
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