Explanation Given information: The function f ( x , y ) = 11 y − 7 x + 7 and the polygon is in Figure 22(B) Concept Used: A linear function f ( x , y ) = a x + b y + c has no critical point, therefore the global maximum and minimum value of must occur on the boundary of a bounded domain Calculation: As f ( x , y ) = 11 y − 7 x + 7 is a linear function thus it has no critical point, therefore the global maximum and minimum value of must occur on the boundary of the polygon of Figure 22(B) As the polygon in figure 22(B) have boundary points ( 2 , 7 ) , ( 3 , 1 ) , ( 7 , 4 ) , ( 8 , 7 ) , ( 4 , 11 ) , checking value of functionson boundary points f ( 2 , 7 ) = 11 ( 7 ) − 7 ( 2 ) + 7 = 77 − 14 + 7 = 70 f ( 3 , <

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 14.7, Problem 34E

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Find the global maximum and global minimum value of f(x,y)=11y−7x+7 on the polygon shown in Figure 22(B) and indicates where they occur

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Chapter 14.7, Problem 33E

Chapter 14.7, Problem 35E

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Chapter 14 Solutions

Loose-leaf Version For Calculus: Early Transcendentals

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E

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Find the global maximum and global minimum value of f ( x , y ) = 11 y − 7 x + 7 on the polygon shown in Figure 22(B) and indicates where they occur

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Find the global maximum and global minimum value of f(x,y)=11y−7x+7 on the polygon shown in Figure 22(B) and indicates where they occur

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Chapter 14 Solutions