127 Answered Questions for the topic Optimization

28d

#### Solve the Following Model Graphically

See Image for Graph: https://imgur.com/a/AUaQqdfMaximize Z = 4x1+ 5x2subject to: x1 + 2x2 ≤ 10 6x1 + 6x2 ≤ 36 x1 ≤ 4 x1 , x2 ≥ 0

04/12/22

#### How would I answer this derivative application question?

Water is leaking from a trough at the rate of 0.8 L/s. The trough has a trapezoidal cross section, where the width at the bottom is 55 cm, at the top is 85cm, and the height is 25 cm. The length of...
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#### Optimization Question about Profit, Demand, Revenue

I have a function of R(x) and C(x), which are income earned/Revenue function and cost function per week respectively.For example, let's say:R(x) = 310x + 0.02x^2 - 0.003x^3C(x) = 3400 - 23x +...
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04/07/22

#### Optimization Question about Profit, Revenue and Cost

I have a question about this problem. I don't know what to do or where to start.I have a function of R(x) and C(x), which are income earned/Revenue function and cost function respectively. I also...
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Optimization Calculus

04/06/22

#### I don't know what to do for this max/min word problem. Could someone explain the steps please?

a boat leaves a dock at noon and heads west at a speed of 25km/h. Another boat heads north at 20km/h and reached the same dock at 1:00 pm. When were the boats closest to each other? Thank you!

Optimization Calculus

12/09/21

#### Maximizing Profit and Optimization

If I know the demand function of a new product is q(p)=10 - the square root of p and I know that the cost function is C(x)=2x+45, how do I find the unit price that maximizes profit? I understand...
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#### Hw Optimization problem

A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 7.5. What are the dimensions of such a cylinder which has maximum volume?Radius = Height =

#### Optimization hw problem

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =1-x^2. What are the dimensions of such a rectangle with the greatest possible area?Width = Height =

Optimization Calculus

11/29/21

#### Find the point on the line −2x+3y−1=0 which is closest to the point (4,0).

#### Optimization Related Problem need ASAP

A woman at a point A on the shore of a circular lake with radius r=3 wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time. She can...
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Optimization Math

11/12/21

#### The product is 27 and the sum of the first plus three times the second is a minimum.

08/08/21

#### Optimization word problem

A rectangular page is to contains 99 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.larger value = ?smaller...
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08/08/21

#### Optimization word problem

A farmer plans to enclose a rectangular pasture adjacent to a river. (see figure). The pasture must contain 320,000 square meters in order to provide enough grass for the herd. What dimensions will...
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08/07/21

#### Optimization question; fencing problem

A rancher has 560 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). What dimensions should be used so that the enclosed area will be a maximum?x = ?y = ?any...
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08/07/21

#### Optimization problem

Find two positive numbers that satisfy the given requirements.The second number is the reciprocal of the first number and the sum is a minimum.first number=?second number=?any guidance will be much...
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08/07/21

#### Optimization question

Find two positive numbers satisfying the given requirements.The sum of the first and twice the second is 200 and the product is a maximumfirst number=?second number=?

#### A cable hangs in a curve that is symmetrical with respect to the y-axis.

The tension, T (in Newtons) of the cable at a point x metres from the y-axis is given by 𝑇 = 200 (𝑒^x/10 + 𝑒^−𝑥/10). Find the maximum and minimum tension if the cable extends from 𝑥 = 10 to 𝑥 = −10...
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Optimization Calculus

04/27/21

#### Amount of wire needed

Another friend of the Lee family, the Bloch family, has a cottage that is situated 8km down the road from them (it’s a straight road). The road runs parallel to the main highway that is 16km away....
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Optimization Calculus

04/27/21

#### how to minimize the total amount of wire needed

Another friend of the Lee family, the Bloch family, has a cottage that is situated 8km down the road from them (it’s a straight road). The road runs parallel to the main highway that is 16km away....
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Optimization Calculus

04/06/21

#### How do I find the point closest to (0,-7) for the hyperbola 7x^2-2y^2=20?

So I know that this is a classic optimization problem where you’re looking for the minimum value and use the distance formula. I think the arithmetic is what is hanging me up. The answer I got for...
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03/22/21

#### Application of Derivatives and Optimization of Volume

Using Calculus, determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 384 square centimeters. Can someone explain using derivative...
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Optimization Calculus

02/18/21

#### A particle P moves in a straight line so that at t seconds, its displacement, s meters from the starting point is s = t^3 - 7t^2 + 17t.

A particle P moves in a straight line so that at t seconds, its displacement, s meters from the starting point is s = t^3 - 7t^2 + 17t. Determine the interval of the time when the particle is...
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Optimization Calculus

02/06/21

#### 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 dn - 3d - 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?

02/05/21

#### Calculus problem for my youngest son!

A store is given n thousands of crates of lemons daily when it is sold at c pesos per crate and the supply equation iscn - 3c - 100n - 100 = 0If the day by day supply is diminishing by 250 crates...
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