Formulate the following as a linear programmingproblem: A greenhouse operator plans to bid for the job ofproviding flowers for city parks. He will use tulips, daffodils,and flowering shrubs in three types of layouts. A Type 1layout uses 30 tulips, 20 daffodils, and 4 flowering shrubs.A Type 2 layout uses 10 tulips, 40 daffodils, and 3 floweringshrubs. A Type 3 layout uses 20 tulips, 50 daffodils, and 2flowering shrubs. The net profit is $50 for each Type 1layout, $30 for each Type 2 layout, and $60 for each Type 3layout. He has 1,000 tulips, 800 daffodils, and 100 floweringshrubs. How many layouts of each type should be used toyield maximum profit?36 Explain how your formulation in Problem 35 changesif both of the following conditions are added:a The number of Type 1 layouts cannot exceed thenumber of Type 2 layouts.b There must be at least five layouts of each type.
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. A Type 1
layout uses 30 tulips, 20 daffodils, and 4 flowering shrubs.
A Type 2 layout uses 10 tulips, 40 daffodils, and 3 flowering
shrubs. A 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 1,000 tulips, 800 daffodils, and 100 flowering
shrubs. How many layouts of each type should be used to
yield maximum profit?
36 Explain how your formulation in Problem 35 changes
if both of the following conditions are added:
a The number of Type 1 layouts cannot exceed the
number of Type 2 layouts.
b There must be at least five layouts of each type.
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