Purchase Solution

Optimization - dimensions

Not what you're looking for?

Ask Custom Question

A customer has asked me to design an open-top stainless steel vat. It is to have a square base and a volume of 32 cubic ft. to be welded from quarter-inch plate, and to weigh no more than necessary. What dimensions do I recommend?

Purchase this Solution
Solution Summary

The solution provides an example of optimization for a steel vat weighing as little as possible.

Solution Preview

From the condition, we know the base of the vat is a square. Suppose the size of the square is x ft. Suppose the height of the vat is y ft. The vat is welded from quater-inch plate. We want to minimize ...

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

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.

View More Free Quizzes
Related BrainMass Solutions

  • Optimization and Newton's method

    55226 Optimization Problems/ Newtons Method --- 4) Find a positive number such that the sum of the number and its reciprocal is as small as possible 6) Find the dimensions of a rectangle with area 1000m^2 whose perimeter is as small as possible

  • Joint Optimization

    The social and technical dimensions must be designed in a manner that they sync with each other to produce desired outcome in a project.

  • Minimum Cost And Dimension For Folding a Box

    What are the material cost and dimensions to build the cheapest box that meets the constraint of volume? Notes: This is an optimization problem that is trying to show the minimum.

  • Optimization

    This provides four examples of optimization word problems.

  • Optimization Problems : Largest Recatangle in a Semicircle, Minimizing Area Given Volume and Finding the Point on a Parabola Closest to Another Point

    Find the dimensions of the can that will minimize the cost of the metal to manufacture the can. Find the point on the parabola y^2 = 2x that is closest to the point (1, 4). Please see the attached file for the complete solution.

  • Optimization

    This shows how to find dimensions to minimize weight.

  • Optimization of Box Dimensions

    218335 Optimization ... Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and four sides of the box costs $1/ft^2; the material for the base costs $2/ft^2.

  • Box Material Optimization

    What are the raw materials cost and dimensions for the cheapest box that can be manufactured? (Be sure to show that it is, in fact a minimum by looking at the Hessian Matrix.)

  • Optimization of business and economics

    22030 Optimization of business and economics A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the page are to have 1.5 inches, and the margins on the left and right are to be in 1 inch.

View More Related Solutions