Use Simplex method to maximize Z = x + 2y Subject to 2x + y <8 2x + 3y < 12 I, y 2 0

Q: Find the Max and Mini values of the objective function Z=3x+4y on the region bounded by  2x+y&gt;5…

A: First find the minimum value: so, the problem is, Min Z = 3 x1 + 4 x2 Subject to 2x1 + x2 &gt; 5x1 +…

Q: Solve: Minimize C = 2x + 10y, subject to: 5x + 2y ≥ 40 x + 2y ≥ 20 y ≥ 3 , x ≥ 0

A: Minimum value of C=58

Q: Maximize p = 5x – 4y + 3z subject to 10x + 10z 0. p= (х, у, 2)%3D

A: Here we use simplex metod.

Q: Maximize 3x₁ + x2 subject to -₁ + 2x2 ≤ 0 X₂ ≤ 4. a. Sketch the feasible region. b. Verify that the…

A: We are given the linear programming problem Maximize 3x1+x2subject to -x1+2x2≤0x2≤4 First we draw…

Q: Maximize z = 15x + 15y Subject to 10x + 8y z 190 10x - 14y 2 - 30 x+y s 45 X, y z 0

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Q: 1. Maximize using the Simplex Method f = 3x + 10y subject to 14x + 7y < 35 5x + 5y < 50

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Q: Use simplex method to maximize the function max N= 4Ri+ SR2 Subjected to 3Rr+ 2R: =10 Ri+ R259 RIS8

A: Using the simplex method

Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1+ 2x2 + 0x3 s 10 2x1 + 2x2 + x3< 10 X1, X2, X3 20 d)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1. Maximize z= 3x + 7y subject to %3D 3x – 2y 0, y>0.

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Q: Use Simplex method to Maximize Ζ = 4x1 +10x2 Subject to  2x1 + x2 ≤ 50                    2x1 +…

A: Solution

Q: Maximize p= 2x + 5y subject to 2x + 3y =0, y>= 0

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Q: Maximize P= 5x + 2y subject to 2x + y = 28                 X>=0, y>=0

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Q: SIMPLEX METHOD Maximize: 15x  + 8y Subject to: 8x  +  4y  = 0

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Q: Maximize f = 3x1 + 6x2+ 8T3 subject to 4x1 + 2x2 + 3r3 0, x2 2 0, r3 0 If no solutions exist enter…

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Q: Find the values of x, y, z that minimize 3x² + 2y² + z² + 4x + y + 3z, subject to the constraint 4 -…

A: Let fx,y,z=3x2+2y2+z2+4x+y+3z   and    gx,y,z=4−x−y−z≡0Apply Lagrange Multiplier method to find…

Q: 6. Minimize Z = 20x + 30y %3D asiminiM subject to 2x +y 56 x, y 2 0 7. Minimize

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Q: Maximize z= 4x +3y エ+5y S 25 4x + y < 24 Subject to Maximum is Preview at Preview Preview VI VI ALAI…

A: Draw the given constraints to find the feasible area.

Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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Q: Maximize z = x + 3y 3x +7y > 63 54 at

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Q: Use the simplex method. Minimize g = 11x + 9y + 12z subject to z 2 7 y + 2z 2 6 x 2 4. х + у + (х,…

A: To solve the given problem we will use the  big M method ( big M method is the standered form of…

Q: 2) Maximize z = 7x1 + 2x2 + x3 subject to: x1 + 5x2 + 7x3 <8 X1 + 4x2 + 11x3 s 9 x1 20, x2 20, x3 20…

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Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

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Q: Maximize P = 5x + 3y subject to 4x + 2y ≤ 20 3x + 3y ≤ 21 x ≥ 0, y ≥ 0

A: Please see the below explanation:

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

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Q: 34. Minimize and maximize P = 12x + 14y subject to -2x + y 2 6 x + ys 15 3x - y 2 0 x, y 2 0

A: Given, minimize, and maximize                P=12x+14y     subject to              -2x+y≥6…

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: 4. Maximize : Z =10x+30y Subject to: 2x+ y 2 16 x+y <12 x+2y 214 х, у 20

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Q: Maximize: z =x+ 10y subject to: 6x+ 5y < 30 10x +ys 30 X20, y 2 0 The maximum value is

A: Constraints: 6x+5y≤3010x+y≤30 Graph each inequality by finding x  and y intercepts 6x+5y=30x…

Q: Maximize P = 3x + 5y +4z 3x + 10y + 2z s 115 subject to 5x + 3y + 8z s 9 Sx + 10y + 3z s 108 x 20, y…

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Q: Z = 2x + 3y   Subject to –2x – y ≥ –10 x + 3y ≥  6 x ≥ 0 y ≥  0

A: To maximise the equation Z=2x+3y, the equations -2x-y≥-10 and x+3y≥6 are to be graphed and shaded.…

Q: . A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,…

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Q: Maximize z=4x+4yz=4x+4y Subject to x+4y≤327x+y≤35x≥0y≥0x+4y≤327x+y≤35x≥0y≥0 Maximum is    at xx =…

A: We use graphical method for maximizing the given problem. For convenience, we take x = x1, y = x2.

Q: x + 2y < 48, x + y< 30 2x + y < 50 x + 10y < 200 Use the simplex method to maximize f (x, y) = 3x +…

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Q: 9. Maximize subject to 2x + 7x2 -2x, + x2S-4 X - 2x S-4 and x 2 0, x2 2 0.

A: 9 Given Maximize Z=2x1+7x2 Subject to −2x1+x2≤−4x1−2x2≤−4 And x1≥0, x2≥0 Solve equation −2x1+x2=−4…

Q: Maxcimize and Minimize Z= 2x+9y subject to: 9x +4y 2 36 9x-6y 2 0 y 56 xy20

A: Given ,  Linear programming problem Maximize and Minimize Z = 2x + 9y  Subject to :  9x + 4y ≥ 36 9x…

Q: 2. Maximize Z = 8x +6 x Subject to: 10x,+ x2s 12 2x1+ 5 x2s 16 X120 HNA

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Q: Maximize p = 3x + 4y subject to 0.2x + 0.2y20.4 X 2 0, y 2 0. (x, y) unbounded

A: Given : LPP       Maximize p=3x+4y subject to                      0.2x+0.2y≥4y≤6x≥0, y≥0 To find :…

Q: 8. Maximize P=3x+2y 2x+ys22 x+3 ys26 XS10 Subject to ys10 X,y20

A: The LPP is given as Max P=3x+2y subject to 2x+y≤22x+3y≤26x≤10y≤10x≥0y≥0 We will solve it by…

Q: Since the feasible region is closed and bounded, we know that the maximum value will occur at…

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Q: Use the simplex method to find x, 20 and x, 20 such that X1 + 4x2 2 26 X1 + X2 546 and such that z =…

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Q: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

A: The given problem is: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

Q: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

Q: Q#2: Maximize U=w°+z0.6 subject to 2w+4z=100 and find optimal value of x and z. Also, verify that…

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Q: Use the simplex method to minimize  w=3y1+2y2 subject to:  2y1+3y2&gt;=60 y1+4y2&gt;=40 with…

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Q: Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤2, z ≥ 0 and y ≥ 0.

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Q: Maximize P = xyz with x +y = 12 and z+y = 12, and x¸ y, and z >0.

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Q: Maximize z = 5x + 6y %3D subject to: 3x + 2y s 12 x +2 y < 8 y 2 0

A: See attached file for a step by step explanation.