1. Solve the following constrained maximization and minimization problems, illustrating your answer with diagrams in each case: (a) max y = 2x₁ + 3x2 subject to 2x7 +5x² = 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 14T
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1.
Solve the following constrained maximization and minimization problems,
illustrating your answer with diagrams in each case:
(a)
(b)
(c)
(d)
max y = 2x₁ + 3x2 subject to 2x² + 5x2 = 10
max y = x0.25x2.75 subject to 2x² + 5x² = 10
min y = 2x₁ + 4x2 subject to x0.25x2.75
= 10
max y = (x + 2)(x2 + 1) subject to x₁ + x₂ = 21
Transcribed Image Text:1. Solve the following constrained maximization and minimization problems, illustrating your answer with diagrams in each case: (a) (b) (c) (d) max y = 2x₁ + 3x2 subject to 2x² + 5x2 = 10 max y = x0.25x2.75 subject to 2x² + 5x² = 10 min y = 2x₁ + 4x2 subject to x0.25x2.75 = 10 max y = (x + 2)(x2 + 1) subject to x₁ + x₂ = 21
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