Find the minimum value of f(x1, x2, x3) = 14x, + 13x2 + 9xy subject to the following constraints. Write the exact answer. Do not round. If the function has no minimum value, write None. Answer x₁ + 4x₂ + 4xy 2 16 x₁ + 5x₂ + x3 2 12 5x₁ + x₂ + x3 24 Minimum value= Keypad Keyboard Shortcut

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 18OE
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Question
Find the minimum value of
f(x1, x2, x3) = 14x₁ + 13x2 + 9xy subject to the following constraints. Write the exact answer. Do not round. If the function has no minimum
value, write None.
Answer
x₁ + 4x₂ + 4xy 2 16
x₁ + 5x₂ + x3 2 12
5x₁ + x₂ + x3 24
Minimum value=
Keypad
Keyboard Shortcut
Transcribed Image Text:Find the minimum value of f(x1, x2, x3) = 14x₁ + 13x2 + 9xy subject to the following constraints. Write the exact answer. Do not round. If the function has no minimum value, write None. Answer x₁ + 4x₂ + 4xy 2 16 x₁ + 5x₂ + x3 2 12 5x₁ + x₂ + x3 24 Minimum value= Keypad Keyboard Shortcut
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