Minimize g=10x+9y Subject to 4x+y≥19   2x+y≥13 x+4y≥24 x≥0 y≥0 What is the minimum value and at which point?

Q: Find the minimum and maximum values of the function f(x, y, z) = x² – yº – z® subject to the…

A: We have to find the minimum and maximum values.

Q: Solve the given optimization problem by using substitution. Find the minimum value of f(x, y, z) =…

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Q: Find the minimum value of W= x^2 + y^2+z^2 subject to the constant x+y+z=15 W=

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Q: Maximize p = 4x + 3y subject to −3x + y ≥ 17 x + 5y ≤ 19 x ≥ 0, y ≥ 0. p= X,Y=

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Q: Minimize z=2x+5yz=2x+5y Subject to 4y+5x≥364y+3x≥27y+x≥8x≥0y≥04y+5x≥364y+3x≥27y+x≥8x≥0y≥0 Solve this…

A: We need to solve the given linear programming problem by Graphical Method.

Q: Q1) Find (optimum solution) that maximum the sum 5X1 + 7X2 subject to the constraints below using:…

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Q: Maximize f(x,y,z) = x2y2z2 subject to the constraint 3x2+5y2+7z2=10. Assume x,y, and z are positive.…

A: Given that , fx,y,z=x2y2z2 and gx,y,z=3x2+5y2+7z2-10 According to our guidelines , We can answer…

Q: Use Lagrange multipliers to solve the given optimization problem. Find the minimum value of f(x, y)…

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Q: Find the minimum and maximum values of the function f(x, y, z) = x° – y – z6 subject to the…

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Q: Maximize and minimize p = x + 2y subject to x + y > 2 x + ys 10 х — уs 2 х — у2 -2.

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Q: ne maximum value of f(x, y) subject to the constraint g(z, y) = 300 is 7100. The method of Lagrange…

A: Solve the given problem.

Q: Minimize and maximize P=20x+10y Subject to 5x +9y2 78 5x + 2y ≤ 64 -x+y ≤ 4 x, y ≥ 0 at is the…

A: To find the minimum value of the LPP.

Q: Use duality to solve the given problem. Minimize w=2y1 +y2 + 2y3 subject to y1+y2 +y3 211 3y1+y2 249…

A: Given that the problem is  Min w=2y1+y2+2y3y1+y2+y3≥113y1+y2≥49y1≥0,y2≥0,y3≥0 First rewrite the…

Q: A firm has using two inputs to produce a single output, Q. The Firm's production 1 function is Q -…

A: Step:-1 Part (a):-

Q: 2 +y? +? inge muitipilers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject to…

A: We are using Lagrange multipliers method

Q: Use Lagrange Multipliers to solve the following: Maximize f(x,y,z) = 4x + 2y + z subject to x2 + y +…

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Q: Maximize  P = x + 4y − 2z subject to 3x  +  y  −  z   ≤   40 2x  +  y  −  z   ≤   20 −x  +  y  +…

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Q: Find the minimum value of the function f(x, y, z) = 2² +y² + z² subject to the constraint z+y+z = 2.…

A: We have given that objective function fx, y, z=x2+y2+z2 and constraint x4+y4+z4=2. Let…

Q: Maximize and Minimize P=2x+y Subject to x+y<or= 5                     -x+3y<or=3…

A: To determine: Maximize and Minimize:

Q: Maximize and minimize p = x + 2y subject to x+ y2 2 x+ys8 x-ys2 x- y2 -2. Minimum: p = (x, y) =…

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Q: Find the absolute maximum and the absolute minimum values of the function f(x, y, z) = x + y? + z?…

A: We have to use Lagrange Multipliers method  To maximize f(x,y,z) subject to g(x,y,z) 0 and…

Q: Find the minimum value. Minimize C= 10x, + 16x2 - 5x3 X, + 3x2 54 4x2 + X3 s2 subject to X1, X2, X3…

A: The problem is converted to canonical form by adding the slack, surplus and artificial variables as…

Q: Find the relative maximum and minimum values.   f(x,y)=x2+xy+y2−25y+208

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Q: Find the minimum value. Minimize C= 10x, + 10x2 - 5x3 X1 + 3x, s7 4X2 + X3 s6 subject to X1, X2, X3…

A: According to the given information, it is required to find the minimum value occurs at  x1, x2, x3.

Q: a. [ ] Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) = x² + y²…

A: f(x,y)=x2+y2 subject to the constraint  x2-2x+y2-4y=0 Let g(x, y)=x2-2x+y2-4y

Q: Use the technique developed in this section to solve the minimization problem. Minimize  C = 10x +…

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Q: Solve the given optimization problem by using substitution. Find the minimum value of  f(x, y, z) =…

A: Given: fx,y,z=2x2+2x+y2−y+z2−z−3 To determine: The minimum value of the given function subject to…

Q: Find the minimum and maximum values of the function f(x, y) = x² + y subject to the given constraint…

A: In the question we have to find minimum and maximum value of the function.

Q: Using Lagrange multipliers, find three positive numbers whose sum is 15 and such that the sum of…

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Q: roduction function for a firm is p(x, y) = 96xy", where x and y are the number of units of labor and…

A: According  to guidelines  we solve one question. Thanku

Q: Use Lagrange multipliers to solve the given optimization problem.   Find the minimum value of f (…

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Q: Use Lagrange multipliers to solve the given optimization problem. Find the minimum value of f(x, y)…

A: Rewrite the problem with the constraint in the form gx,y=0. Minimize fx,y=x2+y2 subject to xy2=16.…

Q: Minimize f(x, y) = x² + }y² subject to yx? = 8. Specify both the optimal solution Question 8 and…

A: To find - Optimal solution and optimal value.

Q: Maximize p = 4x + 5y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0 p= x,y,z=

A: x,y,z= 0,150,0 p= 750 Normally these methods are solved by simplex methods but this question can…

Q: Use the method of Lagrange multipliers to find the minimum value of f(x, y) = x2 + 4y² + 2x + 5…

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = y – x…

A: Given:- f(x, y) = y2 -x  g(x, y) =x2 +y2 -9  To find:-  Maximum and minimum valie of f(x, y) using…

Q: Employing graphical method, minimize the distance of the origin from the concave region bounded by…

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Q: Jse Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Find the minimum and maximum of P = 7x + 6y subject to 3x  +  5y  ≥  20 3x  +  y  ≤  16 −2x  +  y…

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Q: Maximize  p = x − 3y subject to   2x  +  y ≥ 8     y ≤ 7 x ≥ 0, y ≥ 0     (x,y) =

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Q: USING THE GRAPHIC METHOD Determine the x and y that maximize f = 10x + 20y and satisfy the…

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Q: Minimize w= 2y1 + Y2 + 4y3 Y1 +Y2 +y3 2 12 The minimum is w= when y, =. y2 =D and Y3 =U (Type…

A: The given simplex problem is given as: minw=2y1+y2+4y3Subject to:y1+y2+y3≥124y1+y2     ≥49with…

Q: Maximize p = x subject to X - y<4 —х + Зу < 4 x 2 0, y 2 0. p = (х, у) %3D

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Q: Find the minimum and maximum of f(x, y, z) = y + 5z subject to two constraints, 2x + z = 4 and x² +…

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Q: Maximize p = 2x + y subject to x + 2y ≤ 12 −x + y ≤ 8 x + y ≤ 8 x ≥ 0, y ≥ 0.

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Q: Solve the given optimization problem by using substitution. Find the minimum value of f(x, y, z) =…

A: z=2yf(x,y,z)=2x2+2x+y2-y+z2-z-9f(x,y)=2x2+2x+y2-y+4y2-2y-9

Q: Use duality to solve the given problem. Minimize w = 20y1 + 14y2 + 56y3 Y1 +y2 + 5y32 25 2y1 +y2 +…

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Q: Find the minimum and maximum values of the function f(x, y, z) = x' - y – z8 subject to the…

A: The given problem is solved below in detail.

Q: Maximize p = x subject to x − y ≤ 4 −x + 3y ≤ 4 x ≥ 0, y ≥ 0.

A: We have,  x - y ≤ 4        and      -x + 3y ≤ 4 x ≥ 0 , y ≥ 0 We will find Maximize p = x by graph…

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 3 x + y ≤ 3 x ≥ 0, y ≥ 0. p=…

A: LINEAR PROGRAMMING. GRAPHICAL METHOD