Solve Optimization Problems

Solve Optimization Problems-30
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.

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.I don’t really have a clue where to begin with them.

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Sketching the situation will often help us to arrive at these equations so let’s do that.

In this problem we want to maximize the area of a field and we know that will use 500 ft of fencing material.

We have 500 feet of fencing material and a building is on one side of the field and so won’t need any fencing.

Determine the dimensions of the field that will enclose the largest area.

I don’t quite understand so I was hoping for some guidance on a problem so that hopefully I can use it to work on other problems.

(Would I be able to use the way I do one problem for a different problem?

We saw how to solve one kind of optimization problem in the Absolute Extrema section where we found the largest and smallest value that a function would take on an interval.

In this section we are going to look at another type of optimization problem.

From here you can solve for the height of the box in terms of x. Once you figure out what this variable is, go back and plug it into your given constrains.

b) After you find an equation for height in terms of x, to find the surface area, you just need to find the sum of each face's area. You'll likely find that you can solve for a different variable explicitly.

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