6. Optimization
Constrained Optimization — Quiz
Test your understanding of constrained optimization with 5 practice questions.
Practice Questions
Question 1
What is the main goal of constrained optimization?
Question 2
In the method of Lagrange multipliers, what must be true at a constrained extremum?
Question 3
What is the maximum value of $f(x,y)=x+y$ subject to $x^2+y^2=1$?
Question 4
What is the minimum value of $f(x,y)=x^2+y^2$ subject to $x+y=10$?
Question 5
What is the maximum value of $f(x,y)=xy$ subject to $x+y=10$?