Question Convert the following minimization problem into its dual. Minimize : Z(x, x. x) = 9x, +8x, + 4x: subject to: 3x +2x, + x, 27 2x+4x, + 3x, 29 4x +2x, + 3x, 29 XX, 20 What is the new Z? Select the correct answer below: Maximize: Z(x1, x2, x3) = 7x + 9x2 + 9x3 Maximize: Z(V1, y2. y3) = 7y +9y2 + 9y3 Minimize: Z(x1, x2, X3) = 7x1 +9x2 + 9x3 Minimize: Z(yı. y2. y3) = 7yı +9y2 + 9y3

Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We use partial differentiation technique to maximize the revenue. The solution is explained below.

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

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Q: Maximize z = 60x1 + 120x2 + 30x3, subject to 5x1 + 5x2 + 10x3 ≤ 1000 10x1 + 8x2 + 5x3 ≤ 2000 10x1 +…

A: The LPP is:Maximize z=60x1+120x2+30x3Subject to5x1+5x2+10x3≤100010x1+8x2+5x3≤200010x1+5x2≤500x1≥0,…

Q: Minimize g = 7 + 6y subject to 5x + 2y > 16 3x + 7y 2 27

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Q: minimize Z = 8x +212 subject to 2r, - 6x, s 12 5x, + 4x2 40 X1 + 2r, 12 X2 S 6 X1, X2 20

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Q: A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

Q: Q2. Maximise f = 34x, +29.x, +32.x, subjected to: 8x, +2.x, + x, < 54 3x, +8x, +2x, <59 * +x, +5x, <…

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Q: Minimize C=20x₁ + 2x2 subject to 4x1 + x₂ 221 3x₁ + x₂ 25 X₁, X₂ 20 a. Form the dual problem.…

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Q: Maximize P3D3X+3y Subject to 2x+y s 10 x+2y s 8 X, y 2 0

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Q: Minimize and Maximize Z= 40x+10y subject to 3x+y is greater than or equal to 42, x+y is greater than…

A: Z is maximum at D(36,0) and Zmax = 1440Z is minimum at A(0,42) and Zmin = 420Explanation:

Q: Minimize and maximize P= 2x, - 9x2 subject to Xq + X2 s20 5x, + 3x2 2 75 X1,X2 20

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Q: Maximize z = 3x1 + 4x2 Subject to x1 + x2 ≤ 4                   2x1 + x2 ≤ 5                   x1 ≥…

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Q: Write the dual to the following problem. Maximize z = 2x1 + x2  + 3x3 + x4

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Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

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Q: For each of the following linear programs: (1) Sketch the feasible region of the linear program and…

A: Given linear programming problem isMaximize .Subject to:We have to find an optical solution of the…

Q: A company produces two types of solar panels, A and B, that sell for $4 million and $3 million per…

A: Given, Revenue function,R(x,y)=4x+3y Cost function,C(x,y)=x2-2xy+8y2+8x-85y-6 To find: Number of…

Q: Khaled has a small shop for selling food. He has 180 OMR only to buy rice and wheat. A bag of rice…

A: Assume that x and y denote number of bags of rice and wheat respectively.  Thus, the objective…

Q: maximize P=5x1+2x2-x3 x1+x2-x3=0

A: According to the given information, it is required to maximize the given problem.

Q: Maximize P=2x1−3x2+4x3, Subject to: 4x1−3x2+x3 ≤3 x1+x2+x3 ≤10 x1,x2,x3 ≥0

A: The given problem is linear programming problem (LPP). To solve the problem we will use the simplex…

Q: Maximize z = 4x1 + 17x2, subject to 5x215 4x1 + 3x1 + X2 ≤ 30 X1 ≥ 0, X2 ≥ 0.

A: Maximize  subjected to

Q: Maximize P= 3x, + 3x2 + 4x3 subject to X1 + 2x2 + X3 s 35 2x1 + X2 + 2x3 s 100 X1 + 2x2 - X3 2 15…

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Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

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Q: August eats a mix of Food X and Food ? Y for lunch. The amount of protein, calories,and sodium per…

A: We will form a linear programming from given data and then solve it by  graphical corner point…