O What property does the function above ha the region above have, that guarantee thes will exist? (Hint: What I'm asking for he satisfies the conditions of the Extreme Va

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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Please solve part B
2a) Maximize and minimize the function
f (x, y) = 1+ 4x + 2y – 2x² – y² on the triangle bounded by the
lines x = 0, y = 0, and y = 6 – x, along with its interior.
2b) What property does the function above have, and what properties does
the region above have, that guarantee these maximum/minimum values
will exist? (Hint: What I'm asking for here is how this problem
satisfies the conditions of the Extreme Value Theorem.)
Transcribed Image Text:2a) Maximize and minimize the function f (x, y) = 1+ 4x + 2y – 2x² – y² on the triangle bounded by the lines x = 0, y = 0, and y = 6 – x, along with its interior. 2b) What property does the function above have, and what properties does the region above have, that guarantee these maximum/minimum values will exist? (Hint: What I'm asking for here is how this problem satisfies the conditions of the Extreme Value Theorem.)
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