What This Document Is
This is a WebAssign assignment (4.7c: Optimization) for Calculus I (MATH 1910) at Middle Tennessee State University, due April 8, 2022. It consists of three applied optimization problems designed to be solved using the techniques covered in section 4.7 of the course. The assignment utilizes the WebAssign platform for submission and scoring, allowing for multiple attempts per question part.
Why This Document Matters
This assignment is for students enrolled in Calculus I. It serves as a practice tool to reinforce understanding of optimization problems – a core concept in calculus with applications in various fields. Successful completion demonstrates the ability to model real-world scenarios mathematically and find maximum or minimum values using derivatives. It contributes to the overall course grade.
Common Limitations or Challenges
This document *only* presents the problem statements. It does not include solutions, detailed explanations, or step-by-step guidance. Students are expected to have already learned the optimization techniques in class and utilize resources like the textbook, instructor office hours, or WebAssign’s help features to solve the problems.
What This Document Provides
The assignment includes the following three optimization problems:
1. Finding the dimensions of a cylindrical can to minimize material cost given a fixed volume.
2. Determining the point on a parabola closest to a given point.
3. Analyzing a demand function for TV monitors and finding the optimal rebate amount to maximize revenue.
This preview does *not* include the complete solutions, diagrams beyond those shown in the problem statements, or access to the WebAssign submission interface.
