In Problem a function and the graph of a feasible region are given. In each case, find both the maximum and minimum values of the function, if they exist, and the point at which each occurs.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
Problem 1P: PROBLEMS 1-4Find the maximum and minimum values of the given objective function on the indicated...
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In Problem a function and the graph of a feasible region are given. In each case, find both the maximum and minimum values of the function, if they exist, and the point at which each occurs.

 

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Given,

Calculus homework question answer, step 1, image 1

The corner points of the feasible region are 4, 8, 20, 0  &  20, 32.

Now at 4, 8,

f=74-68=28-48=-20

At 20, 0,

f=720-60=140-0=140

At 20, 32,

f=720-632=140-192=-52

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