131 Answered Questions for the topic Optimization

Optimization Calculus

02/04/21

A market is supplied n thousands of crates of watermelons daily when it is sold at d dollars per crate and the supply equation is pn - 3p - 100n - 100 = 0.
If the daily supply is decreasing by 250 crates per day, at what rate is the price changing when the daily supply is 5000 crates?
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Optimization Calculus

02/04/21

Optimization problem - maximum volume and maximum face area of a parallelepiped.
I've been working on this optimization question for a while now and just can't get it figured out. Here's the information that the question provides...A 6 m long metal rod is cut into 12 sections... more
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Optimization Calculus

11/02/20

How would I solve for part 2?

Consider a lifeguard at a circular pool with diameter 43 meters. The lifeguard, at position AA, must reach someone who is drowning on the exact opposite side of the pool, at position CC. The... more
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Optimization Calculus

11/02/20

Calculus Applied Optimization sec 4.7
Consider a wire of length 11ft. The wire is to be cut into two pieces of length x and 11-x. Suppose the length x is used to form a circle of radius r and the length 11-x is used to form a square... more
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Optimization Math Geometry

10/30/20

Complete the table to investigate the ticket price if the goal is to maximize the revenue
The promotion manager of a new band is deciding how much to charge for concert tickets. She has calculated that if tickets are $28 each, then 220 people will come to the concert. For every $1... more
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Optimization Calculus

10/30/20

A gardener is building a shed to protect his plants from hot weather.
A gardener is building a shed to protect his plants from hot weather. Its shape is the surface of a half cylinder with radius r and length h as shown. The material needed for the two flat... more
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Optimization Calculus

10/15/20

Optimization Question
With the upcoming football season, we need to keep Mator the Gator safe fromthe coronavirus! Caden and Rebecca have decided to build him a pen in the shape ofan isosceles triangle with the vertex... more
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Optimization Economics Microeconomics

10/10/20

Find the demands for goods X and Y for agent

Agent B's preferences are given by:U (x,y) = y - ((x)^(-2))/2Which are quasi-linear preferencesBudget constraint is -> x*p +y = 10(Since p= price of good x, and Price of good y is normalized to... more
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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... more
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Optimization Math Calculus Volume

07/04/20

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... more
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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... more
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Optimization Calculus Max/min

01/09/20

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.
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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... more
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Optimization Math Calculus Related Rates

12/04/19

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
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Optimization Math Calculus Related Rates

12/04/19

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
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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?
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Optimization Java Logic Bit Manipulation

06/19/19

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... more
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Optimization Geometry Coordinates Python

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... more
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Optimization Matlab Simulink

05/27/19

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... more
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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.
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Optimization Biology Geography Sql

04/20/19

Maximizing Code Performance for Shapely?
I've written this code in order to calculate the percent cover of grassland within a national park, within 20km^2 of points of recorded occurrences for a species. It is designed to only consider... more
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Optimization Geometry Trigonometry

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 $A+B+C+D+E = 540^\\circ,$... more
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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... more
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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... more
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Optimization Calculus Help

02/19/19

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.
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