On occasion, the constraint will not be easily described by an equation, but in these problems it will be easy to deal with as we’ll see.
This section is generally one of the more difficult for students taking a Calculus course.
Based on the questions we did in class, it seemed different which makes me very confused.). A manufacturer needs to construct a box having a square base and holding 100 cubic inches. d) Find the height of the box that will minimize the outside surface area.
Basically, I need some help getting a grasp on the concept of Optimization problems.
In my math class we are currently studying calculus.
We just came to the Optimization section and my teacher said that it’s very tricky.Let’s start the section off with a simple problem to illustrate the kinds of issues we will be dealing with here.We need to enclose a rectangular field with a fence.One of the main reasons for this is that a subtle change of wording can completely change the problem.There is also the problem of identifying the quantity that we’ll be optimizing and the quantity that is the constraint and writing down equations for each.The first step in all of these problems should be to very carefully read the problem.Once you’ve done that the next step is to identify the quantity to be optimized and the constraint.I don’t really have a clue where to begin with them.This question is an example of the types of problems I’m working with in class.In all of these problems we will have two functions.The first is the function that we are actually trying to optimize and the second will be the constraint.