Purchase Solution

Optimization using Derivatives

Not what you're looking for?

Ask Custom Question

a) A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?

b) If high school prom tickets cost $16 then 1000 people will attend the dance. For every $1 increase in the price 30 fewer people will attend. How much should the dance tickets cost to have the maximum revenue?

c) A rectangular flower bed is to contain 800 square meters. It is to be surrounded by a walk that is 3 meters wide along the sides and 6 meters across the ends. If the total area of the bed and the walk is to be a minimum, what are the dimensions of the bed?

Purchase this Solution
Solution Summary

Derivatives are used to find minimum values.

Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Lagrange Multiplier Optimization

    95968 Lagrange Multiplier Optimization Please explain the two constrained optimization problems using a lagrangian multiplier.

  • Optimization using Lagrangian

    Indeed, the easiest way to tackle this problem is using Lagrange optimization. This type of optimization will provide you with the maximum amount of "happiness" (utility) that the consumer can obtain with some level of income.

  • Optimization for trapezoid

    First, we need to find the partial derivatives.

  • Minimum Cost And Dimension For Folding a Box

    Notes: This is an optimization problem that is trying to show the minimum. I think a good place to start is by eliminating a variable such as Length, Width, or Height using the constraint of volume.

  • Portfolio optimization

    What is portfolio optimization?

  • Optimization: Finding the minimum amount of fencing using implicit differentiation.

    4867 Minimum amount of fencing using implicit differentiation The management of a large store wishes to add a fenced-in storage yard of 20,000 square feet, using the building as one side of the yard.

  • Multivariate Calculus and Optimization

    544394 Multivariate Calculus and Optimization Below is a file consisting of my study guide for my upcoming exam. I need help with the highlighted Exercises, there is 7 of them. I repeat I only need the highlighted in yellow Exercises 1-7 solved.

  • Management Science Statements

    Which of the following statements are true for an unconstrained optimization problem? (Chapter 10) a. At a global min or max all partial derivatives will be equal to 0. b.

  • Sum and product of numbers

    43588 Word Problem - Optimization - Applications of Derivatives: Find two numbers whose sum is 10 and product is as large as possible. Find two numbers whose sum is 10 and product is as large as possible.

View More Related Solutions