Solve Optimization Problems
In this section we are going to look at optimization problems.
In optimization problems we are looking for the largest value or the smallest value that a function can take.
(Would I be able to use the way I do one problem for a different problem?
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.
Are there are tips / tricks you could show me to help me get through this unit? Then you should figure out how to reduce this formula to only 1 variable, in this case, x, using constraints that are given to you.
a) Consider the equation for the volume of a box with a square base of area x^2, Volume = x^2 * height. Now, considering optimization problems in a first year calculus course, I believe you can approach most similarly. Then take the derivative of the function you are trying to optimize and solve for 0.