To find: the minimum and maximum values of the objective function and the points where they occurs, subject to the constraints.
Answer to Problem 87RE
The maximum value of
The minimum value of
Explanation of Solution
Given information:
The given objective function:
Constraints:
Calculation:
Consider objective function
Subjected to the following constraints:
The graph given is as below:
At the four vertices of the region formed by the constraints the objective function has the following values:
At
At
At
At
So, the maximum value of
The minimum value of
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning