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
Optimization Calculus Derivatives

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... more
Optimization Math Calculus Calculus

04/07/22

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 +... more

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... more
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... more
Optimization Math Calculus

12/07/21

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 Math Calculus

12/07/21

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 Math Calculus

11/24/21

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... more
Optimization Math Calculus Derivative

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... more
Optimization Math Calculus Derivative

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... more
Optimization Math Calculus Derivative

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... more
Optimization Math Calculus Derivative

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... more
Optimization Math Calculus Derivative

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=?
Optimization Math Calculus

04/30/21

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... more
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.... more
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.... more
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... more
Optimization Calculus Derivatives

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... more
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... more
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... more

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