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

Q: Solve the problem Max (min) 3x² + 2y² +2² subject to the constraints z² = x² + y² and x-2z = 3

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Q: Also, we must have *20. y20. Therefore, the above problem can be fomulated as follows: find x and y…

A: # we are entitled to solve one question at a time, please resubmit the other question which you wish…

Q: Find the number of slacks variables needed and use slack variables to convert each constraint into a…

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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,…

Q: Min. Z= 2Y +8X subject to the constraints: x+y < 50 3x + y < 90 x 2 0, y 2 0 O Min. Z = 100 O Min. Z…

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Q: Maximize the function p = -x+y over the following constraints: a) x+y>=4, x>=0, y>=0, -x+2y<=2,…

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Q: 3. Minimize: Z = 20x + 10y and the constraints are : x + 2y < 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0,…

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Q: Find the minimum value of  z = 6x2 + y2 − xy  subject to the constraint  2x + y = 12.

A: Use Lagrange theorem

Q: Find the values of x, y that maximize 6. – 2x² – 2xy - y + 2x + 9y 2 11 subject to the constraint…

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Q: 8) Maximize the function f(x, y) = 16-r² - y² subject to the constraint x + y = 6

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Q: Calculate the minimum value of 3x + 6y subject to the following constraints: x+y2 2 x + 2y s 5 x+ys6…

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Q: MAXIMIZE F= x +2y subject to constraints: x + y ≥ 4 2x + y ≤ 8 y ≤ 4

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Q: 2. Зх + у 2 6 4х + 5y 10

A: Inequality: It is an algebraic expression with a relationship between the two numbers consisting of…

Q: Maximize: Z = 1250x + 3500y Constraints: 5x + 4y s 60 x+ y 29 y - 3x s 9 • Subn • File x20 NAN y 20…

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Q: Minimize c = 6x + 14y Subject to the constraints: 14x + 7y 2 43 3x + 7y 2 21 -x + y 2 -5 x, y 2 0

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Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

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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: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: Find the maximum and minimum values of x2 + y2 subject to the constraint x2 - 2x + y2 - 4y = 0.

A: Given

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: Maximize f = 4x − y + 8z subject to the following constraints. x  +  y  +  z  ≤  16 x  −  y  +  z…

A: Use the simplex method to solve the given problem  Adding the slack and artificial variables…

Q: 5. Maximize Z = 3x + 4y and the constraints are : x- y <-1; -x +y <0 and x, y 2 0.

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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: 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: Calculate the maximum and minimum values of x^2+y^2 subject to the constraint x^2−2x+y^2−4y=0

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Q: Calculate the minimum value of 3x + 6y subject to the following constraints: X+y22 x+ 2y s 5 x+ys6 X…

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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: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

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: Find the maximum and minimum values of 3x - y + 6 subject to the constraint x2 + y2 = 4.

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Q: Maximize the value of z = 4x₁ + 6x2, where x₁ and x₂ ≥ 0, subject to the following constraints. -x₁…

A: Given: The LP problem, Maximize, z=4x1+6x2Subject to -x1+x2≤11                       x1+x2≤27…

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

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

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: 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: The maximum value for the function f (x, y) = 2x + y – 2z bject to the constraint x2 + y? + z² = 9…

A: Here we have, f(x,y)=2x+y-2z ................................... (1) Subject to constraint…

Q: Calculate the minimum value of 9x + 5y subject to the following constraints: x +y2 20 x + 2y 2 26 2x…

A: Find the minimum value of 9x+5y subject to the constraints,  x+y≥20x+2y≥262x+y≥29x≥0y≥0  as follows.…

Q: Use the given feasible region determined by the constraint inequalities to find the maximum possible…

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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 and maximum values of the function subject to the constraint. = 3x + 2y + 4z, x2 +…

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Q: X2 X1 b) x, 2 x, ; - x, + 2.x, 2 2 a) x, 2 2x,; - x, +2.x, <2 c) x, Sx,; -x, +2x, 2 2 d) x, <x,; -…

A: Consider the figure given below :

Q: 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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Q: esting x units of labor and y units of capital, a watch manufacturer can produce P(x, y) =…

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