131 Answered Questions for the topic Optimization

Optimization Calculus

04/10/17

Applied Optimization
a rectangular field with a partition is to be enclosed with a fence against an existing wall, so that no fence is needed on that side. The material for the fence cost $3/ft. for the two end sides... more
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04/03/17

Minimizing optimization
Design a fuel tank that will hold 300 liters of fuel. The shape must be a cylindrical tube with two rounded ends. The side wall (cylinder part) costs $.10 per cm^2 to make while the rounded tops... more
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Optimization Calculus Calculus 1

03/29/17

Optimization problem, Please Help!!
I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemispheres attached to each end. The side wall (the cylinder... more
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Optimization

03/19/17

find two numbers whose sum is 20, if the product of one by the cube of the other is to be a maximum?
I need the answer later pls  
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03/06/17

Shortest length of a road
Two corridors 3m and 4m wide meet at right angles. Find the length of the shortest thin straight road that can pass horizontally around the corner.
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Optimization Calculus 1

03/01/17

Optimization problem, PLEASE HELP!
I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemisphere attached to the end. The side wall (the cylinder... more
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Optimization

01/02/17

How do you solve this problem?
What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 10003?
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Optimization

01/02/17

How do you solve this problem?
Two sides of a triangle have lengths a and b and the angle between them is angle theta. What value of angle theta will maximize the triangle's area? Use the formula A=1/2absintheta.
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Optimization

01/02/17

How do you solve this problem?
A 384 square meter plot of land ts to be enclosed by a fence and divided into two equal parts by another fence parallel to one pair sides. What dimensions of the outer rectangle will minimize the... more
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Optimization

01/02/17

How do you solve this calculus problem?
An open rectangular box is to be made from a 9X12 piece of tin by cutting squares of side x from the corners and folding up the sides. What should X be to maximize the volume of the box?
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Optimization

12/29/16

I don't understand what the Question is asking me
The following polygon of constraints represents the solution for an optimization situation that involves minimizing the costs of sugar and salt. the values in the table below were calculated in... more
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Optimization

12/29/16

I just don't know how to answer this question?
Upper whitlock gaming makes video games for teens. The two most popular games are the I Dig game and the vista cruiser game.The company knows from past experience that they sell at most twice as... more
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12/10/16

A piece of string with a length of n cm is cut into 2 pieces. One of the pieces will be used to make a square, while the other piece will be used to...
A piece of string with a length of n cm is cut into 2 pieces. One of the pieces will be used to make a square, while the other piece will be used to make an equilateral triangle. How should the... more
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Optimization

12/03/16

Optimization
What is the minimum number of feet of fencing needed to create a rectangular garden with an area of 576ft?   I keep getting 144 as my answer but my friend says it wrong.. Please help!
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Optimization Calculus

11/08/16

The number of geese per square kilometer G(t) in the waterloo region depends approximately on the temperature t(in degree celsius)
According to the function G(t)= 0.001t^2+0.06t^2-1.5t+12. What is the minimum concentration of geese by area in 2015, if the min and max temperature were -34 degree celsius and 34 degree celsius?
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Optimization Calculus 3

11/03/16

maximum and minimum values of the function f(x,y,z)=x + 2y subject to the constraints y^2 + z^2 = 289 and x + y + z = 5
I know how to solve these problems with two constraints, but this one quickly falls apart and becomes realistically "unsolvable."   I'm trying to find the max and the min and at what points they... more
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Optimization

10/23/16

Optimization
Suppose f(0) = 3 and 2 is less than f '(x) which is less than 4 for all x in the interval [-5; 5]. Determine the greatest and least possible values of f(2).
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Optimization Math Calculus

10/19/16

Find the point on the line 6x+y=9 that is closest to the point (3,8)
How do I solve it?
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Optimization Math Calculus Maximum

10/15/16

An open box with its base having a length twice its width is to be constructed with 600 square cm of material. Find its dimensions that maximize the volume.
so I am asked to maximize l*w*h = 2w^2*h l*w +2w*h+2lh=600   I solved for h in terms of w 2w*w+2wh+2*2wh=600 2wh+4wh=600-2w^2 h(6w)=600-2w^2 h=(600-2w^2)/(6w)   I plugged it into l*w*h and... more
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10/10/16

Find the side lengths x and y of the largest area where L is a given length for the diagonal. At the critical point, y=? x=? A=?
It says to eliminate one variable so I eliminated x.   A=xy L2=x2+y2 x=(L2-y2)1/2   A=y*(L2-y2)1/2     =(L2y2-y4)1/2 Derivative =1/2(L2y2-y4)-1/2 *L22y-4y3   I don't know where to go... more
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10/09/16

Find the dimensions of a rectangle with area 1225 m^2 whose perimeter is as small as possible.
What is the perimeter of the rectangle?   I don't know how to solve this question using optimization methods.     How I solved it: sqrt1225 to find the smallest dimensions of l*w =35 35m*4... more
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Optimization Quadratic Word Problem

10/03/16

He predicts that he will sell 280 bicycles for $ 360 . He also predicted that for each increase in the price of $ 10, he will sell 5 bikes less.
How many bicycles will he sell in this context? what is the maximum price that he can obtain? what will be the maximum revenue?
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Optimization Calculus 1

05/13/16

Calculus I Optimization
The top and bottom margins of a poster are a  cm and the side margins are each b  cm. If the area of printed material on the poster is fixed at c  square centimeters, find the dimensions of the... more
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Optimization Calculus 1

05/09/16

Calculus I Optimization
A rectangular box with square base and a fixed volume V  is to be made from two types of material. The material for the top and bottom costs t  cents per square inch and the material for the sides... more
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Optimization Calculus 1

05/09/16

Calculus I Optimization
 A wire of length 15 is cut into two pieces which are then bent into the shape of a circle of radius r  and a square of side s  . Then the total area enclosed by the circle and square is the... more
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