Given that x+y 60 the maximum value of x 2y
WebApr 25, 2024 · The line x + 2y = 120 meets the coordinate axis at points ,A (120, 0) and B (0, 60). x + 2y = 120 A (120,);B (0,60) Join points A and B to obtain the line, clearly (0, 0) satisfies the given in equation. So the region containing the origin represents the solution set of the in equation x + 2y ≤ 120. Region represented by x + y ≥ 60 : WebOct 17, 2024 · 5. Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given condition: f ( x, y, z) = x 2 + y 2 + z 2; x 4 + y 4 + z 4 = 1. My solution: As we do in Lagrange multipliers I have considered ∇ f = λ ∇ g where g ( x, y, z) = x 4 + y 4 + z 4 and the last equation is equivalent to the system of ...
Given that x+y 60 the maximum value of x 2y
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Webgiven that x+y=60, what is the maximum value of x^(2)y? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core … WebOct 9, 2024 · Answer: The maximum value of the product x*y is 112.5 Step-by-step explanation: We have that x + 2y = 30 so we can isolate one of the variables and get: x = 30 - 2y now, the product of x*y can be written as: x*y = (30 - 2y)*y = 30y - 2y^2 now, we want to find the maximum of 30y - 2y^2
WebFind step-by-step Calculus solutions and your answer to the following textbook question: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x,y,z)=xyz; x^2+2y^2+3z^2=6. WebGiven, x + y = 1 0 ⇒ y = 1 0 − x ... If x, y ∈ R, such that x + 2 y = 1, find the maximum value of x y. Hard. View solution > View more. More From Chapter. Application of …
WebMar 16, 2024 · Ex 6.5, 14 (Method 1) Find two positive numbers 𝑥 and y such that 𝑥 + 𝑦 = 60 and 𝑥𝑦3 is maximum. Given two number 𝑥 and y, such that 𝑥 + 𝑦 = 60 𝑦=60−𝑥 Let P = 𝑥𝑦3 We … WebAug 21, 2024 · simplifying. has a common factor to cancel. Squaring. simplifying to find roots of quadratic. which are a pair of straight lines. If are these roots say Plug in the first of …
WebThe maximum value of the object function Z = 5x + 10y subject to the constraints x + 2y ≤ 120, x + y ≥ 60, x - 2y ≥ 0, x ≥ 0, y ≥ 0 is ... 2y ≥ 0, x ≥ 0, y ≥ 0. Converting the given in equations into equations. x + 2y = 120, x + y = 60, x - 2y = 0. x + 2y = 120 ⇔ \(\rm \frac{x}{120}+\frac{y}{60}=1\)
Webx=3 and y=6 , then P= 108 is the largest possible product. Click HERE to return to the list of problems. SOLUTION 2 : Let variable x be the width of the pen and variable y the length of the pen. The total amount of fencing is given to be 500 = 5 (width) + 2 (length) = 5x + 2y, so that 2y = 500 - 5x. or y = 250 - (5/2)x. firewood cutting machineWebMay 27, 2024 · For the given conditions, at x=40 and y=20 the value of x²y is maximum.. What are maximum values? The maximum value of a function is the place where a … firewood dawsonville gaWebIn this question, it is given that, x+y=60. So y=60-x. As I said earlier we have to write f=x*y. Now we can write f as a function of 'x'. f=x (60-x). f (x)=60*x-x^2. Now differentiate f (x) with respect to x and equate to '0' as shown below. f ' (x)=60-2*x=0 Implies, x=30. If x=30, then according to equation y should be 30. etv scholarshipWebMar 16, 2024 · Minimize & Maximize Z = 5x + 10y Subject to, x + 2y ≤ 120 x + y ≥ 60 x − 2y ≥ 0 x, y, ≥ 0 ∴ Z = 300 is minimum at (60, 0) Also, Z is maximum at two points (60, 30) & (120, 0) ∴ Z = 600 is maximum at all points joining (60, 30) & (120, 0) Next: Ex 12.1, 8 → Ask a doubt Chapter 12 Class 12 Linear Programming Serial order wise Ex 12.1 etv scandal december 2021 teasersfirewood cut wood homesWebExpert Answer 100% (2 ratings) Transcribed image text: Find the absolute maximum and minimum values of the following function on the given set R f (x,y) = x2 + y2 - 2y +1; R = { (x,y): x² + y2 = 16} What is the absolute maximum value? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. firewood damascus mdWebDec 28, 2024 · Given that x+y=60 , the maximum value of x2y is The value of x for this maximum value is Check. Question. Gauthmathier1046. Grade . 9 · YES! We solved … etv recovery time