Verify that in the example to the right, the same result isobtained if the constraint x + y = 20 is used to eliminate x rather than y.

Q: subject 12x+4y 2 72 to the constraint 6x+12y 2 96 x20 y 20

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Q: Fincl extreme of the value fray2of fouy2-2xy Subject to the constraint

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Q: Find the maximum value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

A: Given the objective function Maximize Z= 12x+9y. subject to  4x+3y≤368x+3y≤48x,y≥0 use the graphical…

Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x -y…

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Q: Find the minimum and maximum values of z= 9x+4​y, if​ possible, for the following set of…

A: The given constraints are: 3x+4y≥12 x+4y≥8 x≥​0, y ≥0 Find the minimum and maximum values of…

Q: Write the dual of the following LPP Minimise Z = 16x₁ + 9x₂ + 21x₃ Subject to the constraints: x₁…

A: Let us consider the primal problem: Min Z=cXAx≥bx≥0 Dual of primal problem is given by: Max…

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

A: Use Lagrange theorem

Q: Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to…

A: GIVEN Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject…

Q: Determine the maximum value of f (x, y) 2.x! 2x1/4,3/4 subject to the constraint g(x, y) = x+ 3y – 4…

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Q: What is the constraint for: “Store 1 can only be opened if store 6 is opened.”? X1 + ( _ _ _ ) X6…

A: It's a binary programming problem constraint. Where variable Xi only take two values 0 and 1 X1-X6=0…

Q: Is there a real number x such that x = 2-x? Decide by displaying graphically the system

A: Consider the equation: x=2-x. Is there a real number x satisfying the equation.   If the graphs of…

Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x - y…

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Q: Suppose that x1x2,. x5 correspond to binary choices (or actions) with value 1 if an action is chosen…

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Q: following is the converted constraint of 3x + 2y  ≥ 35 under minimization of profit in simplex…

A: Since, constraint is of type &gt;= , we should subtract surplus variable S and add artificial…

Q: Suppose that x1,x2,...,x5 correspond to binary choices (or actions) with value 1 if an action is…

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint æ? + y? +…

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Q: Describe the set of all points in 3- space whose coordinates satisfy the inequality Y² + z² + 6y −4z…

A: Sphere: A three-dimensional shape like a round ball. A sphere has one curved surface and no corners…

Q: Let p be a direction of unboundedness for the constraints Ax = b, x > 0. Prove that –p cannot be a…

A: A direction d is said to be direction of unboundedness for a LPP whose constraints is given by:…

Q: Project 3 can be selected only if both Projects 1 and 2 are selected, but if both Projects 1 and 2…

A: Given that,                Project 3 can be selected only if both Projects 1 and 2 are selected, but…

Q: The maximunm value for the function f(x, y) = x+y-z sub- ject to the constraint z2+y? + 22 = 12 is

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Q: 1. Convert the constraint inequalities 3x + 5y < 15 and 3x + 6y < 20 to equations containing slack…

A: Slack variable is a variable that is added to an inequality constraints to transform it into an…

Q: We have a primal and its corresponding dual. The primal is in standard form and its right hand side…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: 3. Show that d is a direction of unboundedness for the following set of constraints. - r2 + 3 = 4 +…

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Q: f (x, y, z) = 2x + 6y + 2z Subject to constraint 2x2 + 4y2 + z? = 70

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Q: Maximize x2y subject to the constraint that 1 > x+y.

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint z? + y? +…

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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: Rewrite the constraint given below by making the necessary changes so that it is linear. x1 . x2 .…

A: Solution : Given that : x1 . x2 . x3 = y  x1, x2, x3 ∈ {0,1

Q: Find the maximal and minimal value of z = 3x + 4y subject to the following constraints x+2y≤14…

A: Given: x+2y≤143x−y≥0x−y≤2

Q: Find the maximum and minimum of f(x, y) = xy subject to the constraint 4x + y = 72

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Q: Consider the problem minimize f(x, y) = 2y – x² subject to x + y² < 1, x 2 0, y 2 0.

A: To minimize the function f(x,y), write all the constraints in the form of ≥ type.…

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

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Q: 9. How should the constraint, 3X + 2Y 2 9 as equation #1, be converted into ?simplex (2 marks)…

A: Given: The constraint 3X+2Y≥9   To determine: The equation that the given constraint should be…

Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: Find maximum and minumum values of f(x, y, z) = 2x – 4y + 10z subject to the constraint x? + y? + z2…

A: Z27272

Q: Find the maximum value of Z = 2x + 3y +y< 30, y 2 3, 0<ys 12, x – y 2 0, and 0<x < 20. subiect to…

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Q: Find the minimum value of f(x,y)=48x²+30y2 subject to the constraint x2+y2=361 %3D

A: Given that fx,y=48x2+30y2 Let, gx,y=x2+y2 Then, fx=96xfy=60ygx=2xgy=2y

Q: Consider the following problem; max f(x1 ,x2) = –xỉ – x? subject to (x1 – 1)3 > x} Check "constraint…

A: We need to check constraint qualification.

Q: Use this graph to answer the question. 15 A 10 II V IV E 10 15 Маx 20X + 10Y St. 12X + 15Y <180 15X…

A: The linear function(cost function or the profit function etc.) that needs to be optimized(maximize…

Q: min f (x, y) = (x – 4)² + (y – 4)² subject to x + y< 4 and x+ 3y < 9

A: Step:-1 By Lagrange Multiplier Method:- Take Lx, y, λ, μ =x-42 + y-42 -λx+y -4 -μx+3y-9 ∂L∂x=2x-4…

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: Four people are lining up to go on a water-slide, but only two of the four are willing to take the…

A: It is given that four people are lining up to go on a water-slide, but only two of the four are…

Q: Find the minimum and maximum values of z = 2x+ 4y, if possible, for the following set of…

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Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Q: Consider the following problem; min f(x, y) = (x – 4)² + (y – 4)2 subject to x+ y<4 and x+ 3y < 9…

A: Given: min f(x,y)=x-42+y-42 subject to x+y≤4 and x+3y≤9 We have to discuss whether a solution exist…

Q: Find the minimum and maximum values of the fnccon f(z,y)-z²+} subject to the given constraint z+-…

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Q: Write Dual minz= 40x +120x 2. 1. s.t X +4x4 1 2 2x +3x5 1 2 XN0. Dial constraint (1) 1 2 2y +y 40

A: Conversion of primal to dual

Q: Find the maximum and minimum values (if such values exist) of f(x, y) = x² + 6y² subject to the…

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Q: Find the minimum value of f(x,y)=48x2+30y2 subject to the constraint x2+y23D361

A: Since you have asked multiple questions in a single request we would be answering only the first…