95 Answered Questions for the topic Optimization

Optimization Calculus

08/05/20

#### Optimization/ Extreme Value Problem

you are an engineer for Jiffy box Company. it is your job to design an open topped( that is, no top) cardboard box with a square base. The box must have a volume of 134 cubic inches of space...
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#### shipping volume

size = length + 2*width + 2*heightThe size of the package must be less than 165" and length has to be less than 108".You work for a producer who ships rectangular boxes that are 13"x4"x4". The...
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Optimization Calculus

05/04/20

#### How to solve This calc 1 problem

A realtor wishes to enclose 600 of land in a rectangular plot and then divide it into 2 rectangular pens with an interior fence parallel to two of the sides. What are the dimensions of...
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#### Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r = 14 (see figure).

Solve for the area, and write as a function of h and then as a function of a.

Optimization Calculus

12/06/19

#### Optimization Calculus Question

An industrial tank is formed by adjoining two hemispheres to the ends of a right circular cylinder. The tank must have a volume of 4000 cubic feet. The material for the lateral surface costs $5...
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#### Optimization and Related Rates problem

This question uses the inverse-square law, which states that the light intensity experienced at a distance x from a light source is proportional to the luminosity of the source times x^(-2).It is...
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#### Optimization and Related Rates problem

This question uses the inverse-square law, which states that the light intensity experienced at a distance x from a light source is proportional to the luminosity of the source times x^(-2).It is...
more

Optimization Statistics

07/29/19

#### a box is to be constructed with a total volume of 6400 cm^3. The sides cost $5 per cm^2, the top and bottom cost $4 per cm^2 . What are the dimensions that have the correct volume, but minimize cost?

#### Fastest way to get sign in Java?

I'd like to get the sign of a `float` value as an `int` value of -1 or 1.
Avoiding conditionals is always a good idea in reducing computational cost. For instance, one way I can think of would be...
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05/29/19

#### How do I check if cartesian coordinates make up a rectangle efficiently?

The situation is as follows:
- There are N arrays.
- In each array (0..N-1) there are (x,y) tuples (cartesian coordinates) stored
- The length of each array can be different
I want to extract the...
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#### Tuning and optimizing a MATLAB/Simulink Model?

I would like to optimize output signals, by tuning some of the input parameters with ease (preferably in real-time) by looping the simulation of the model again and again at a speed where the speed...
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Optimization Calculus

04/25/19

#### 120 feet of fencing to enclose 3 adjacent corrals

We have 120 feet of fencing to enclose three adjacent rectangular corrals with one side against a wall. Find the dimensions of the rectangles whose area is as large as possible.

03/23/19

#### If $A+B+C+D+E = 540^\\circ$ what is $\\min (\\cos A+\\cos B+\\cos C+\\cos D+\\cos E)$?

Let each of $A, B, C, D, E$ be an angle that is less than $180^\\circ$ and is greater than $0^\\circ$. Note that each angle can be neither $0^\\circ$ nor $180^\\circ$.
If $A+B+C+D+E = 540^\\circ,$...
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03/15/19

#### How to know whether Lagrange multipliers gives maximum or minimum?

My book tells me that of the solutions to the Lagrange system, the smallest is the minimum of the function given the constraint and the largest is the maximum given that one actually exists.
But...
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03/14/19

#### Why does a distance and its square reach their minimum at the same point?

There is a question in my calculus textbook that asks to find a point on the parabola $y^2 = 2x$ that is closest to point $(1,4)$.
They want us to first use the distance formula, but then...
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#### optimization question

Maximize the volume of a rectangular prism whose base area is given by the polynomial 36+15x-3x^2 and whose height is 20x-90.

#### optimization please help

A luxury hotel group purchases a deserted island 3. 5 miles offshore and due south of an endangered bird nesting beach. The nearest power source is on land, 10 miles due east of the bird nesting...
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Optimization Calculus

11/17/18

#### Optimization Problem

A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $3 per square foot and the metal for the sides costs $8 per square foot. Find...
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#### Finding the dimensions of a rectangle with max area that can be in a circle

Find the dimensions of a rectangle with the max area that can be inscribed in a circle of radius 10.

11/13/18

#### An Optimization Problem

I have some issues regarding this optimization problemA cylindrical garbage can with no top needs to hold 6 ft3 of garbage. What diomensions should the can have in order to minimize the amount of...
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Optimization Calculus 1

10/05/18

#### How do you find points given the following?

Find the points on the graph of the function that are closest to the given point.f(x) = x^2,(0, 9)

07/03/18

#### Very confusing optimization question!

I am really confused about this equation and how do you derive the volume and area equation!
” An open-top rectangular box is to be 6 meters high and have a volume of 300 cubic meter. Find the...
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06/21/18

#### Charlie has an 8m plank. He plans to cut it into 4 pieces to make a rectangular sandbox. Show that he can maximize the area of the sandbox by using a square

I don't know what to do here ??? please help
Continuation to question- with a side length of 2m

#### Marbles with radius 1.5 cm are placed into a cubic box of side length 12 cm. How many can fit and how much empty space is left?

i'm not sure how to do this question. pls help!

Optimization

05/13/18

#### What size square should be cut out to create a box with greatest volume? What is the maximum volume?

An open box is to be made from a piece of plastic 20 by 20 inches by cutting out squares of equal size from the corners and bending up the sizes.

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