Consider the following problem, where the value of p has not yet been given: Maximize Z = 2.x2 12 < p 2x1 + (1) (2) (3) subject to X2 2 2 X2 < 4 a 2 0, x2 > 0. + Use the graphical method to determine the optimal solution(s) for (r1, x2) and the associated optimal value(s) for Z (if any) for the various possible values of p (-o

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 2P
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Consider the following problem, where the value of p has not yet been given:
Maximize Z =
2.x2
12 < p
2x1 +
(1)
(2)
(3)
subject to
X2 2 2
X2 < 4
a 2 0, x2 > 0.
+
Use the graphical method to determine the optimal solution(s) for (r1, x2) and the associated
optimal value(s) for Z (if any) for the various possible values of p (-o <p < ∞). (Graph
an instance for each range/value of p by any graphing software, or by hand on a graph paper
with a ruler.)
Transcribed Image Text:Consider the following problem, where the value of p has not yet been given: Maximize Z = 2.x2 12 < p 2x1 + (1) (2) (3) subject to X2 2 2 X2 < 4 a 2 0, x2 > 0. + Use the graphical method to determine the optimal solution(s) for (r1, x2) and the associated optimal value(s) for Z (if any) for the various possible values of p (-o <p < ∞). (Graph an instance for each range/value of p by any graphing software, or by hand on a graph paper with a ruler.)
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