Minimize 3x + 5y + z subject to the constraints x+y + z2 20 y + 2z 2 10 x 0, y2 0, z20.

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A: Given: The objective function is f=80x+160y.            The constraints are…

Q: 4. Minimize 375 2x 3y subject to the constraints x2 0, y 2 0 x< 30, y < 25 x+y< 45 (x+y%15.

A: Given the optimization problem,  To minimize 375-2x-3y subject to the constraints x≥0, y≥0x≤30,…

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Q: A software engineer recently developed an online game. He found out that the optimal crit rate x to…

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Q: . Find the maximum possible value of f = 20x + 30yand the values of x and y that give that value,…

A: Definition used -      Maximum possible value -       We will graph the given inequalities and…

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Q: Maximize the objective function subject to the constraints 4x + y ≤ 56, 5x + 4y ≤ 92, x ≥ 0, and y…

A: These feasible region is shaded

Q: The maximum value of x + y subject to the constraint x² + y² = 1is _____.

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Q: 4- For the equations shown below, use the simplex method and find the values of the key column for…

A: Given:MaxP=10X+10Y+30ZThe constraints are300X+10Y+20Z≥30020X+10Y+20Z≥10050X+40Y+30Z≥80We have to…

Q: Maximize f(x,y)=x2+y2 subject to the constraint 2x+6y=26 the last question is what is the maximum…

A: Given fx,y=x2+y2 and 2x+6y=26-1Let gx,y=2x+6y-26∴ Fx,y=x2+y2-L2x++6y-26By lagrange's…

Q: Find the minimum value of z = 4x2 + y2 − xy subject to the constraint 4x + y = 8. z =

A: Answer

Q: The maximum and minimum values of 2x + 3y subject to the constraint x + y = 1, where 0 ≤ x,0 ≤ y,…

A: Given that 2x+3y  subject to constraint x+y=1 where x≥0, y≥0.

Q: Minimize 8 x + 8 y subject to the system of constraints. x+8 y 2 104 12 x + y z 108 Dual Problem…

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Q: Maximize z = 3x + 4y subject to the following constraints. 2х + y s 4 -x + 2y 0 Enter -1 if there…

A: we solve this problem by simplex method

Q: Minimize 4X + 9Y, constraints: 5X + 3Y s 30, 7X • 2Y s 28, X 2 0, Y 2 0

A: Given constraints are 5x+3y≤30 and  7x+2y≤28, x≥0,y≥0. Draw the given inequalities and obtain the…

Q: Consider the equation z = 32x0.°y04 where z, z, y represent the total production, labor input and…

A: Formula used: The equation to be solve by using Lagrange's multiplier method for solving constraint…

Q: Minimize and maximum z = 8x +7y subject to the constraints 2x + 3y ≥ 12 2x + y ≤8 x, y 20

A: Given,Max(z)=8x+7y,Such that,2x+3y≥12,2x+y≤8x,y≥0.

Q: Maximise Z = 250x + 75y  subject to the constraints:  5x + y  ≤ 100        if x=0 then y = 100…

A: The given function is z=250x +75y The constraints are  5x + y  ≤ 100          x + y ≤ 60           x…

Q: Find the minimum value of w = x2 + y2 + z2 subject to the constraint x + y + z = 9. w =

A: Answer

Q: Find the minimum possible value of g = 30x + 40yand the values of x and y that give that value,…

A: Consider the objective function z=Ax+By, A &amp; B are constants subjected to the following…

Q: Find the maximum possible value of f = 400x +300y and the values of x and y that give that…

A: The given LPP: maximize  f=400x+300ysubject to,3x+2y≥62x+y≤7x, y ≥0 Sketch this region and locate…

Q: Find the minimum possible value of g = 60x + 10yand the values of x and y that give that value,…

A: The given LPP: minimize:  g=60x+10ysubject to3x+2y≥122x+y≥7x≥0, y≥0 Sketch this region and locate…

Q: Maximize the objective function subject to the constraints 3x + y ≤ 15, 5x + 3y ≤ 33, x ≥ 0, and y…

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Q: Maximize  z = 8x + 9y,  subject to the following constraints. −3x  +  y ≤ 3 2x  −  4y ≤ 8 x  ≥  0,…

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Q: Maximize f(x, y) = √11-x² - y² Constraint: x+y=2=0 )

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Q: Minimize the function f(x, y) = squareroot(y^2-x^2) subject to the constraint x+2y-5=0

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Q: A software engineer recently developed an online game. He found out that the optimal crit rate x to…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Maximize f = 4x + 7y subject to the following constraints: x+2y≤7 5x+3y≤12 y≤3 x and y are…

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Q: Minimize Z=-x₂ + 2x₂ subject to the constraints and (1-x₂ + 3x₂ ≤9 x.x₂ 20. (11) x₂ + x₂ ≤ 6. (11)…

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Q: . Find the maximum and minimum value of f (x, y) = ry for the constraint 4.2 + 9y2 = 32. %3D

A: To find maximum and minimum of function f(x,y) = xy for the constraint  4x2 + 9y2 = 32.

Q: Find the minimum value of w = 4x, + 2x, + x3 subject to the constraints 2x, + 3x, + 4x, 4 x1 + 4x,…

A: Change the constraint system:  -2x1-3x2-4x3≥-143x1+x2+5x3≥4x1+4x2+3x3≥6where x1, x2, x3≥0 The…

Q: 12. Minimize 3x + 5y + z subject to the constraints x + y+ z2 20 y+ 2z 10 xN0, y>0, zN0.

A: Given: The value 3x + 5y + z is minimized and it is subjected to the constraints as follows,

Q: 4. Minimize: Z 5x + 4y and the constraints are : %3D 4x + y 2 40; 2x + 3y 2 90 and х, у 2 0

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Q: Find the maximum value of P = xy subject to the constraint 2x + y = 5

A: Given Data: Equation 1: P=xy Equation 2: 2x+y=5   Solve equation (2) for y. 2x+y=5y=5-2x…

Q: Calculate the maximum value of 10x + 23y subject to the constraints below: x + 2y < 14 X-y2 1 y 2 1…

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Q: Maximize 72+x2 +xy - 8y², subject to the constraint 8-x-2y 0. The maximum value of 72+x2 +xy-8y2…

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Q: Minimize g = 3x + 4y subject to the constraints

A: The given linear programming problem is minimize g=3x+4y subject to the constraints…

Q: x+ys8 2x+ys10 y20 maximum for N 100x + 40y %3D

A: The given system of constraints is, x+y≤82x+y≤10x≥0y≥0

Q: The maximum and minimum value of f(x,y) = 3x – 4y subject to the constraint x* + y° = 16 are %3D O…

A: To maximize the function f(x, y)  subject to the constraints  g(x,y)=C Determine the Lagrangian…

Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0

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Q: Minimise x2+y−2xyx2+y−2xy subject to the constraint y=1

A: Given function is fx,y=x2+y−2xy and given constraint y=1. We have to minimize the function is…

Q: Maximize ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints 2y + 4z - 5 = 0 and 4x2 + 4y2 - z2 =…

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Q: Find the minimum value of f subject to the given constraint (x.y) = 2x2 +y?; 2x + 3y = 44

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