Find the minimum value of (x, y) = xy subject to the constraint 5x y =
Question:
Find the minimum value of ƒ(x, y) = xy subject to the constraint 5x − y = 4 in two ways: using Lagrange multipliers and setting y = 5x − 4 in ƒ(x, y).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Answered By
Sandhya Sharma
I hold M.Sc and M.Phil degrees in mathematics from CCS University, India and also have a MS degree in information management from Asian institute of technology, Bangkok, Thailand. I have worked at a international school in Bangkok as a IT teacher. Presently, I am working from home as a online Math/Statistics tutor. I have more than 10 years of online tutoring experience. My students have always excelled in their studies.
4.90+
119+ Reviews
214+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use the method of Lagrange multipliers to find a. The minimum value of x + y, subject to the constraints xy = 16, x > 0, y > 0 b.The maximum value of xy, subject to the constraint x + y = 16. Comment...
-
Find the minimum value of w=x2+y2+z2 subject to the constraint x + y + z =3.
-
In Exercises 1 through 16, use the method of Lagrange multipliers to find the indicated extremum. You may assume the extremum exists. Let f(x, y) = x 2 + y 2 . Find the minimum value of f(x, y)...
-
Elevator Controller The block diagram for an elevator controller for a two-floorelevator follows. The inputs FB1 and FB2 are 1 when someone in the elevatorpresses the first and secondfloor buttons,...
-
What are the primary characteristics of an annuity? Differentiate between an ordinary annuity and an annuity due.
-
Reed Paper, Co., produces the paper used by wallpaper manufacturers. Reed's fourstage process includes mixing, cooking, rolling, and cutting. During March, the Mixing Department started and completed...
-
A 12-mm-diameter cable is strung between a series of poles that are \(50 \mathrm{~m}\) apart. Determine the horizontal force this cable puts on each pole if the wind velocity is \(30 \mathrm{~m} /...
-
Net sales revenue, net income, and common stockholders equity for Azbel Mission Corporation, a manufacturer of contact lenses, follow for a four-year period. Requirements 1. Compute trend analyses...
-
What is the Profit maximizing product level and why? What is the Profit maximizing price and why? *This is for Q4, the 50 and $60 is incorrect Total Profits/ Price Output TR MR TC TFC TVC AFC AVC ATC...
-
Find the minimum and maximum values of (x, y) = x 2 y on the ellipse 4x 2 + 9y 2 = 36.
-
Use Lagrange multipliers to find the minimum and maximum values of (x, y) = 3x 2y on the circle x 2 + y 2 = 4.
-
Ad Venture Ltd. provides a defined contribution pension plan for its employees. Currently, the company has 40 full-time and 55 part-time employees. The pension plan requires the company to make...
-
3. A battery-powered toy travelling at 2.2 m/s drives off a diving board which is at a height above the water. If the impact speed of the toy is 7.3m/s, find the height of the diving board above the...
-
The lowest resonant frequency, in a certain string clamped at both ends, is 50 Hz. When the string is clamped at its midpoint, what is the lowest resonant frequency? (Ans: 100 Hz)
-
Let's say an object moves along the x - axis with the following velocity given as, vx(t) = (a +43 t - 3y ++ 76 t5), where a, , y, and 8 are just constants. (A) Determine an expression for the...
-
9. An aluminum rod with resistivity, p, is shaped into a circular loop such that the rod diameter, d, is much smaller than the radius of the loop, a. The loop is placed in the presence of an...
-
The position of a particle is given by the vector 51 + 102. Find its distance from the origin. Express your answer correct to two decimal places. (the question is equivalent to asking what is the...
-
One of the concerns addressed by a strategy of sustainability is that of environmental protection, in particular the improvement of waste disposal. Such a goal is worthwhile; however, it can pose...
-
Find the inverse, if it exists, for the matrix. -1
-
Use the accompanying graph of y = f(x). Find . | lim f(x) r2* 4 (-2, 2) (-6, 2) (-4, 1) -6 -4 -2 4 -2 -4
-
Use the accompanying graph of y = f(x). Does exist? If it does, what is it? lim f(x) 4 (-2, 2) (-6, 2) (-4, 1) -6 -4 -2 4 -2 -4
-
Use the accompanying graph of y = f(x). Does exist? If it does, what is it? lim f(x) 4 (-2, 2) (-6, 2) (-4, 1) -6 -4 -2 4 -2 -4
-
ABC, Inc. is expected to pay a dividend of $7.59 next year. The dividends are expected to grow at 8.43% each year forever. The required rate of return on the stock is 14.62%. What is today's price of...
-
What will be printed after the following code executes? Write down your answer then check it by copying and running the code: public class Output { public static void main(String[] args) { }...
-
Spielman Leather, Inc., produces three sizes of sports gloves: small, medium, and large. A glove pattern is first stenciled onto leather in the Pattern Department. The stenciled patterns are then...
Study smarter with the SolutionInn App