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Given that x+y 60 the maximum value of x 2y

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 WebIn 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.

MCQ Questions for Class 12 Maths Chapter 12 Linear ... - Learn …

WebExpert 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. WebClick here👆to get an answer to your question ️ Find two positive numbers x and y such that x + y = 60 and xy^3 is maximum. Solve Study Textbooks Guides. Join / Login >> Class … owwa arnel ignacio https://getmovingwithlynn.com

maxima minima - If two positive integers x and y such …

WebMar 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 WebDec 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 … 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 … イベント保険とは

Ex 12.1, 7 - Minimise and Maximise Z = 5x + 10y, x + 2y <= 120, x …

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Given that x+y 60 the maximum value of x 2y

Solutions to Maximum/Minimum Problems - UC Davis

WebThe maximum value of Z = 4x + 2y subjected to the constraints 2x + 3y ≤ 18, x + y ≥ 10; x, y ≥ 0 is. (a) 36. (b) 40. (c) 20. (d) none of these. Q. The maximum value of z=3x+4y , subject to the constraints x+y≤40,x+2y≤60,x≥0,y≥0 is : Q. The maximum value of z = 3x + 4y subject to the constraints x + y ≤ 40, x + 2y ≤ 60 x, y ≥ ... WebStep 1: Find the critical points of the given function. A function f ( x) = x y is given. Also, It is given that x + 2 y = 8. Therefore, the given function becomes f ( x) = x ( 8 - x) 2. …

Given that x+y 60 the maximum value of x 2y

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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 : 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 …

WebFeb 16, 2024 · Given that x+y=60, the maximum value of x2y is The value of x for this maximum value is Answer Get the answers you need, now! Brainly User Brainly User … WebThe feasible region determined by the constraints, x + 2y ≤ 120, x + y ≥ 60, x − 2y ≥ 0, x ≥ 0, and y ≥ 0, is given below. A (60, 0), B (120, 0), C (60, 30), and D (40, 20) are the corner points of the feasible region. The values of Z at these corner points are given below.

WebSep 20, 2024 · Can anyone please solve the question with steps I did this by just assuming that let give both $x$ and $2y$ equal value $30$, $30$ so $x\\times y = 30\\times15 = … 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 ⇔ \(\rm \frac{x}{120}+\frac{y}{60}=1\)

WebJan 10, 2024 · The hint does tell you exactly what to do. [list] [*]You are trying to find the maximum value of x 2 y. So if you put z = x 2 y, you are trying to find the maximum …

WebMar 28, 2024 · Step 2: Create linear equation using inequality. 200x + 100y ≤ 5000 or 2x + y ≤ 50. 25x + 50y ≤ 1000 or x + 2y ≤ 40. Also, x > 0 and y > 0. Step 3: Create a graph using the inequality (remember only to take positive x and y-axis) Step 4: To find the maximum number of cakes (Z) = x + y. イベント保険 1日 農協WebQuestion: Use Lagrange multipliers to solve the given optimization problem. Find the maximum value of f(x, y) = xy subject to x + 2y = 48. max = Also find the corresponding … イベント保険 1日 掛け捨てWebJun 20, 2024 · We now have a linear system $ (4y + 3z = 10, 6y + 12z = 30)$ in two variables. Use your favorite solution method, and you'll get $ (y, z) = (1, 2)$, and quick calculations with the original equation gives $x = 2$. owwa polo dubai appointmentWebJun 14, 2024 · Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs. - 16826001 ... Given the objective function is and the contraints as follows: ... the maximum value occur on 18 when x=9 and y=0. Advertisement Advertisement New questions in … イベント保険 少人数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 ... owzhi comicWebFind step-by-step Calculus solutions and your answer to the following textbook question: Find the maximum and minimum values of ƒ(x, y, z) = x - 2y + 5z on the sphere $$ x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 30. $$. ... Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x,y,z)=2x+2y ... イベント保険 後払い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. owyhee nevada zip code