Q2. Find the maximum and minimum value of fusing Graphical method, where f = 21x - 13y subjected to: 3x + y < 5 x + y + 2 > -4 x - y -12 2

Q: Solve the problem below using the graphical method. maximize f(y1,y2) =2y1 + y2 subject to…

A: The objective function is fy1, y2=2y1+y2 and subject to the constraints is…

Q: Q2: Using Lagrange multipliers method to find the maximum and minimum points values for the function…

A:

Q: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

Q: Find the minimum value of f subject to the given constraint. f(x,y) = 3x2 + 3y?; 4x + 4y = 288

A:

Q: Solve graphically the dual of the LLP Minimise: z=4w, +6w, +5w,-wĄ Sub. to w; +w, 23 W;,W,W,Wq 20

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Q: A consumer can spend £1280 on two goods x and y, costing £12 and £16 per unit respectively. His…

A: This is a problem of optimization.

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x2 + y? subject to the…

A: Given f(x,y)=x2+y2 and subject to constraint is xy=2 and we need to find the minimum value of given…

Q: The relative minimum of y= x - 4x +4 occurs at A None of the given choices B) x = -2 c) x = -4 D) x…

A: We can find the relative minima or maxima by finding x where the first derivative vanishes (critical…

Q: Q1 Minimise f(x) = X;² + x;? + 2x3? – x1x2 %3D a) Determine the stationary point and check the…

A: Given, f(x)=x12+x22+2x32-x1x2 a) Stationary point:…

Q: Multivariable optimization question

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Q: Q4. Find the maximum and minimum value of fusing Graphical method, where f= 25x, -16x, subjected to:…

A: Consider the given function. f=25x1-16x2 And the subject is defined as,…

Q: The method of Lagrange multipliers can be used to show that the maximum value of the function f(x,…

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Q: Find the exact extreme values of the function := f (x, y) = 35r + 11y + 70 subject to the following…

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Q: Maximize: F = 39x+17y Subject to: x+2y<8 x+y<6 x+4y<14 x, y 2 0

A:

Q: Maximize: z=D13x +8y subject to: 6x+8y s 48 13x +y s48 x20, y 0 The maximum value is

A:

Q: 10. Maximize f(x, y) = 25 – ² - y² subject to 2x + y = 10

A:

Q: Find the minimum value of f(x,y)=61x²+6y² subject to the constraint x2+y²=4

A: Minimum value of function is the point on function curve which is lowest on entire curve. Point at…

Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

A:

Q: The function f(x.y.z) = 2x+z? has an absolute maximum value and absolute minimum value subject to…

A:

Q: Find the relative maximum and minimum values. Зx2 f(x,y) = + 10y2 + 3

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Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint x2 + y? +…

A: we use Lagrange multipliers method

Q: Find the values of x, y that maximize 5 - 2x2-2xy-y2 +x+4y 7 subject to the constraint x+y- =0

A: let f=-2x2-2xy-52y2+x+4y x+y-72=0y=72-x substitute y value in f…

Q: Maximize: z =x+ 10y subject to: 6x+ 5y < 30 10x +ys 30 X20, y 2 0 The maximum value is

A: Constraints: 6x+5y≤3010x+y≤30 Graph each inequality by finding x  and y intercepts 6x+5y=30x…

Q: The function f(x,y) = e 2xy has an absolute maximum value and absolute minimum value subject to the…

A: x

Q: Solve the following problem using the Simplex method and graphical method: Maximize Z = f(x,y) = 3x…

A: Given graphical methodMax z=f(x,y) = 3x+2ys.t 2x+y≤18     2x+3y≤42     3x+y≤24  x≥0 , y≥0

Q: What is the minimum value of f(x, y) =x +4y -2x+8y subject to the constraint X+2y=7

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Q: Find the maximum value of the function f(x, y) = x²y subject to the constraint x² + 24 = 1. 27

A:

Q: Determine the optimal solution using graphical method. Maximize: Z= 20x – 4y Subject to: 2x + y 2 8…

A: Given

Q: The relative minimum of y= x² – 4x +4 occurs at (A) x= -4 B None of the given choices c) x = -2 D) x…

A: We have to find out

Q: Find the maximum value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

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Q: Let M and m be the maximum and minimum values of the function f(x,y)=8x2−2y subject to the…

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Q: 3. Use Lagrange multipliers to find the relative extrema of the function f(x,y)=1620.70. 0.3 subject…

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Q: Find the minimum value of the function f (x, y) = 16x² +81y² subject to the constraint xy = 1.

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Q: What is the minimum value of f(x, y) =x +4y - 2x +8y subject to the constraint X+2y D7 O a. 5 O b.…

A: Use Lagrange multiplier to solve

Q: Find the minimum value of h(x, y) = (x − 2)2 + 2xy − (y + 4)2 constraint y=x. subject to the

A:

Q: The function f(x,y)=e^6xy has an absolute maximum value and absolute minimum value subject to the…

A:

Q: Determine the extremum points and the values of the maximum and minimum of the function + f(x, y) :…

A: Given:  f(x,y)=xy+yx;   g(x,y)=x2+y2-8=0So,…

Q: Find the minimum value of f subject to the given constraint. f(xy) = 3x +y -4xy; x+y= 24

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Q: Find the absolute minimum value of the function f(x, y) x+ 4y2 = 9. 2x + 3y subject to the…

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Q: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

A: The given problem is: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

Q: Find the minimum value of the function z = 3x+11y subject to the following constraints. x<11 ys 12…

A: Given, min z=3x+11ySubject to the constraintsx≤11y≤123x+y≥183x+7y≥54

Q: Find the indicated extreme value of f subject to the given constraint  maximum of f(x,y) = 4x+6y…

A:

Q: Given that f(x, y) = 8x-2x² - y² +8y with the constraint g(x,y): 2x+y=5. Determine the optimum value…

A: Solution is given below:

Q: Find the absolute maximum and the absolute minimum of the function f(x,y, z) x² + y² + z², subject…

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Q: Find the maximum value of the function f(r, y) = x²y subject to the constraint z² +y= 5. %3D

A: We will find maximum value by using Lagrange multipliers.

Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum. a. 1 and 2…

A: we have to find

Q: Find the minimum value of the function f(x, y) = x²y* subject to the constraint x2 + y2 = 12.

A: Minimum value of the function

Q: Find the maximum and minimum values of f(x, y) = 4x2 + y2 subject to the constraint x2 + 4y2 = 16.

A: The given constraint equation is: x2+4y2=16     ...(1) Consider g(x,y)=x2+4y2-16 And the function…

Q: Let f(x.y) be a two variable function with fx=y and fy =x. What are the extreme points of f with…

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Q: Find the optimal solution for the following model graphically Max Z 5X, +2X2 Subject to, X +X2 s 10…

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