Question

Create an Optimization problem where the purpose is to minimize the cost of something.
Please also include a solution set to your problem. In your solution, there MUST be step-by-
step explanations as to what is happening (just like you would find in an example in your
textbook). The math MUST be Calculus based. Meaning that there needs to be work with
derivatives of equations. This is an opportunity to be creative.

Answer 1

Problem:

A farmer has 2000 m long fence. He wants to enclose an rectangular area adjacent to his barn. He only needs to fence 3 sides as one side of the area will be adjacent to his barn. Find out the dimensions such that the area is maximized.

solution: