Use the two-stage method to solve the problem below. Minimize w=56y₁ +72y2 +61y3 subject to 8y₁ +9y2 +6y3 ≤ 15 8y₁ +18y2 +4y3 ≥ 13 y₁20, y2 20, y3 2 0. Y₁ = 0 W= (Simplify your answer.) Y₂ = 0 Y3 =

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

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Q: Samuel is running a diet center. Each lunch requires 0.3 kg of protein, while each dinner requires…

A: 0.3 Kg lunch time 0.4 Kg dinner time 167 Kg every month

Q: Maximize B=xy2​, where x and y are positive numbers such that x+y2=10.

A:

Q: Solve (D4 + 2D² + 1)y x cosx +3*

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Q: Solve by using the simplex method. Maximize Z = 5x1 +9x2+7r3 subject to Iị + 3r2 + 2rs < 10 3r1 +…

A: we have given the the problem  max Z = 5x1+9x2+7x3subjected to:        x1+3x2+2x3 ≤ 10…

Q: 7. Find the values of x and y. (3x +9) (4y+8)" (3y-14)"

A: Step I                                        mL1=mL3 Vertically, opposite anglesmL3+mL8=180°  Sum…

Q: y = /5 + x², y = 0, x= 0, x = 2

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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: Find x, y, z, and w. x 8 (2x- 1) (2x - 3) 7y (w + 1) (6y + 5) X = y =

A: Given x82x-1y67y=2x-3z55w+16y+5.

Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: (i) Use x.and x.as the initial basic variables and apply simplex method to solve: Маximize: z - бх.…

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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: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: Give the general solution of (D5 + 2Dª + 7D³ – 4D² – 26D + 20)y = 0

A: Solution:-

Q: Sketch the direction field for the following equation dy/dt = 30-2y Based on your sketch, find the…

A: We shall use MATLAB to plot the direct field. We are using MATLAB so that the direction field is…

Q: Construct the dual problem. Minimize  z = – 5x1 – 15x2

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Q: Q2) Solve the following problem using the simplex method: Maximize: z = 4x+3y x +3y s 3 - 2x +y s 5…

A:

Q: Maximize C = 7x + 9y + 6z subject to 12x + 8y + 15z ≤ 72 9x + 8y + 5z ≤ 144 and x ≥ 0, y ≥ 0.

A: We are given: Maximize C = 7x + 9y + 6z subject to 12x + 8y + 15z ≤ 72   9x + 8y + 5z ≤ 144…

Q: B) fometie w= xty+y2-23, x²ry*+2?=6

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

Q: Solve for x and be sure to show Left side = Right side and Legal Moves. 7) Show all work. (Hint: Use…

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Q: d The Value 2X-24-2 4x+3-22 3x+44-32

A:

Q: An open box, no more than 5 cm in height, is to be formed by cutting four identical squares from the…

A: The dimension of the metal sheet is 25 cm by 32 cm. Let x cm be the side length of the squares…

Q: (D² – 3D + 2)y = 2x3 – 9x2 + 6x. Find the solution. * c,e* + c2e2x + x³ + 1 ce* + cze2* +x³ ce* +…

A: Second option is correct

Q: Minimize c = 3x + 3y subject to x + 2y ≥ 38 2x + y ≥ 38 x ≥ 0, y ≥ 0.

A: