Derivatives Analytical Review

All the details are included in the assignment itself. I need good work done and absolutely no plagiarism. If you get something from the internet cite it with in-text citations if required that you need to get information from some other source to do it.

Real World Problem Assignment
Due Sat Apr 18, 2020
(NO Extension will be given)
This assignment goes towards your Language of Mathematics Assignment grade for the course.
You should type your solution, but any math or pictures can be hand written and/or scanned into
the document, if that is easier for you. You are encouraged to use Desmos or any other graphing
utility or calculator. Make sure you include your graphs in your submission. You should use
Algebraic methods like the ones we learned in this class to solve this problem! If you use
CALCULUS (derivatives) to solve it, you will receive ZERO points!
Be as thorough as possible and feel free to contact me, if you have any questions. Submit your
file through blackboard. If you have difficulty doing so, you can email it to me
at c.zahopoulos@northeastern.edu. Please write “Real World Problem Assignment” on the
Subject line.
Problem United Parcel Service has contracted you to design a closed box with a square base
that has a volume of 10,000 cubic inches. Initially, they would like to know the dimensions of
such a box with minimum surface area. They are considering creating the box with a
reinforced bottom. The box would be made from a cardboard material costing 1 cent per square
inch to build the walls and top, however the bottom would be constructed with stronger
material, costing 2 cents per square inch to build. How do the dimensions of the box having
the minimum surface area compare to the dimensions of the reinforced box which costs the
least?
Note 1 Imagine you have been contracted to solve this problem. That is, someone is paying you
to provide them with an analysis of the problem. Imagine that your solution will be submitted to
a group of management-level employees at United Parcel Service and they will use your analysis
when making a decision. With this in mind, your submission should include the following:
•
•
•
•
•
A discussion (one paragraph or so) on what the problem is asking. Someone who has
never seen the original problem should be able to tell what the problem was and exactly
what is being asked after reading this paragraph.
A short discussion on your plan for solving the problem. This should include definitions
of each of the variables as well as an explanation of the equation you are building and
using to solve the problem.
A step by step solution of the problem. This should be clear and easy for a reader to
follow (even if the reader may not be well-versed in mathematics). This means you should
justify your steps in solving the problem.
A clear statement of the solution to the problem and answers to any questions.
Any implications of the solution
1|P a ge
Real World Problem Assignment
Due Sat Apr 18, 2020
(NO Extension will be given)
This assignment goes towards your Language of Mathematics Assignment grade for the course.
You should type your solution, but any math or pictures can be hand written and/or scanned into
the document, if that is easier for you. You are encouraged to use Desmos or any other graphing
utility or calculator. Make sure you include your graphs in your submission. You should use
Algebraic methods like the ones we learned in this class to solve this problem! If you use
CALCULUS (derivatives) to solve it, you will receive ZERO points!
Be as thorough as possible and feel free to contact me, if you have any questions. Submit your
file through blackboard. If you have difficulty doing so, you can email it to me
at c.zahopoulos@northeastern.edu. Please write “Real World Problem Assignment” on the
Subject line.
Problem United Parcel Service has contracted you to design a closed box with a square base
that has a volume of 10,000 cubic inches. Initially, they would like to know the dimensions of
such a box with minimum surface area. They are considering creating the box with a
reinforced bottom. The box would be made from a cardboard material costing 1 cent per square
inch to build the walls and top, however the bottom would be constructed with stronger
material, costing 2 cents per square inch to build. How do the dimensions of the box having
the minimum surface area compare to the dimensions of the reinforced box which costs the
least?
Note 1 Imagine you have been contracted to solve this problem. That is, someone is paying you
to provide them with an analysis of the problem. Imagine that your solution will be submitted to
a group of management-level employees at United Parcel Service and they will use your analysis
when making a decision. With this in mind, your submission should include the following:
•
•
•
•
•
A discussion (one paragraph or so) on what the problem is asking. Someone who has
never seen the original problem should be able to tell what the problem was and exactly
what is being asked after reading this paragraph.
A short discussion on your plan for solving the problem. This should include definitions
of each of the variables as well as an explanation of the equation you are building and
using to solve the problem.
A step by step solution of the problem. This should be clear and easy for a reader to
follow (even if the reader may not be well-versed in mathematics). This means you should
justify your steps in solving the problem.
A clear statement of the solution to the problem and answers to any questions.
Any implications of the solution
1|P a ge