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 , <

ACHIEVE FOR CALCULUS 1 TERM >CSI CUSTOM<

4th Edition

ISBN: 9781319411657

Author: Rogawski

Publisher: MAC HIGHER

See similar textbooks

Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

Videos

Question

Chapter 14.7, Problem 34E

To determine

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

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.7, Problem 33E

Chapter 14.7, Problem 35E

Students have asked these similar questions

Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3,4, -32) for the function f(x, y, z) = In -4x -5y- Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate to 4 decimal places

Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3 and Ay = 0.05. dz = Now find Az and compare it to your answer above Ax= Hint: If entering a decimal, round to at least 5 places

Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and Ay = -0.15. dz Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 places

Chapter 14 Solutions

ACHIEVE FOR CALCULUS 1 TERM >CSI CUSTOM<

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

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

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

Concept explainers

Videos

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

Want to see the full answer?

Chapter 14 Solutions