To identify: All the vertices and find the value of x and y that maximize the objective function by drawing the graph of the system of constraints.
The vertex are:
Given information:
The given system of equations is:
Explanation:
Consider the given system of equations.
Consider the first quadrant because it is given that
Draw the graph for
Also shade the left side because
Draw the graph for
Also shade the region shown below.
Shade the feasible region as shown below:
The vertices are
It is given that the objective function is
Determine the value of P at each vertex.
Vertex | |
Thus, the maximum is 14 at
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