To find: the minimum and maximum values of the objective function
Answer to Problem 18CT
The minimum value of
The maximum value of
Explanation of Solution
Given information:
The given following constraints,
Calculation:
Consider the objective function as
Also, the above objective function subjects to the following constraints
The inequalities
Consider the equations
Plot these equations using Graphing Calculator
Step 1: Write the equations in the rectangular box as follows
Step 2: Right click on the equations, go to plot and click on 2 −D implict plot
The graphs of the equations
The region bounded by the constraints is shown in the above plot.
Test objective function at each vertex
At
At
At
At
Hence, the minimum value of
Also, the maximum 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