To find: the minimum and maximum values of the given objective function and the points where the values occur.
Answer to Problem 34E
The maximum value and minimum value are 10 and 0 which occurs at
Explanation of Solution
Given:
The given objective function
Constraints:
Calculation:
Objective function
Subjected to the following constraints:
Find the vertices using the above constraints.
At
At
Next equate
And,
Thus the vertices obtained are
Draw the feasible region as done below,
The plot is completely bounded and thus has a minima and maxima at one of its vertices.
At
At
At
At
Thus the maximum value and minimum value are 10 and 0 which occurs at
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