To find: the minimum and maximum values of the given objective function and the points where the values occur.
Answer to Problem 31E
The maximum value of
The minimum value of
Explanation of Solution
Given:
The given objective function
Constraints:
Calculation:
Objective function
Subjected to the following constraints:
The area bounded by the constraints are as shown below:
Here the feasible solution lie only in the region determined by
So the constraint
At the three vertices of the region formed by the constraints the objective function has the following values:
At
At
At
So, the maximum value of
The minimum value of
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning