Calc III Ch13 Notes_Part30

# Calc III Ch13 Notes_Part30 - 13.10 —— Lagrange...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 13.10 —— Lagrange Multipliers In “real life” most optimization problems have restrictions. Why? If you’ve ever done Linear Programming, you’ve seen this before. Why is this so limited? Here we can solve optimization problems with constraints whose functions are of a variety of forms. Think of the objective function (which we’re trying to optimize) as a family of . The optimal solution is going to occur when a level surface is “ ” the constraint. How will these two surfaces be touching? What do we know about the surfaces at this point? What do we know about parallel vectors? Method of Lagrange Multipliers: Let f(x, y) be the objective function and g(x, y) be the constraint. 1. From the equation , use the corresponding terms to set up a system of equations along with the constraint to solve for all variables. 2. Evaluate the optimal solutions to determine max/mins. ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern