a.
To find: The constraints for the situations, where
The constraints are
Given information:
The given statement is
Concept used:
Linear programming problems represent constraints by equations or inequalities and by system of equations.
The graph of the system is the feasible region and it contains all the points that satisfy all the constraints.
Calculations:
Here maximum amount should
The maximum area should be
Thus the constraints are
b.
To find: The objective function for the situations, where
objective function here is
Given information:
The given statement is
Concept used:
Linear programming problems represent constraints by equations or inequalities and by system of equations..
Calculations:
Here carbon dioxide absorption from the spruce tree is
So based on the question objective function is
Thus objective function here is
c.
To find: the vertices and graph the region the constraints are
The vertices are
Given information:
The constraints are
Concept used:
The graph of the system is the feasible region and it contains all the points that satisfy all the constraints.
Plot the graph:
The graph is given below:
And the vertices are
d.
To find: the maximum of the function
The values of
Given information:
The function is
Evaluate
The values of
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education