Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 3 x + y ≤ 3 x ≥ 0, y ≥ 0. p= (x, y) =

Q: Maximize p = 10x + 10y + 15z subject to x  −  y  +  z ≤ 13 2x  −  2y  +  z ≥ 15     −y  +  z ≥ 5 x ≥…

A: The given problem is: Maximize P=10x+10y+15z Subject to x-y+z≤132x-2y+z≥15-y+z≥5x,y,z≥0

Q: minimize z=4x+6y subject to: 3 0 y > 0

A: We are going to solve the give. Problem by graphical method.  In the shaded region, the linear…

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

A: Here we use simplex metod.

Q: Maximize p = 4x + 3y subject to −3x + y ≥ 17 x + 5y ≤ 19 x ≥ 0, y ≥ 0. p= X,Y=

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Q: Maximize p = 2x + y subject to x + 2y ≤ 11 −x + y ≤ 6 x + y ≤ 6 x ≥ 0, y ≥ 0. p=(x, y) =

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Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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Q: Solve using simplex. Minimize: w = y1 + y2 + 4y3 Subject to: Y1 + 2y2 + 3y3 > 115 2y1 + y2 + 8y3 200…

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Q: Maximize p = 7x + 5y + 6z subject to x + y - z s 12 x + 2y + z s 32 x + y s 20 x 2 0, y 2 0, z 2 0.…

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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: Minimize c = 2x + 2y + 3z subject to x      +  z ≥ 140 2x  +  y     ≥ 70     y  +  z ≥ 70 x ≥ 0, y ≥…

A: We are given the following problem. Minimize c = 2x + 2y + 3zsubject to x      +  z ≥ 140 2x…

Q: f(x, y, z) = eVx2 + y2, E = {(x, y, z) | 1 < x² + y2 < 4, ys 0, x < y/3, 3 s z 5 4} E = {(x, y, z) |…

A: given fx,y,z=ex2+y2 and a region of integration E=x,y,z|1≤x2+y2≤4 , y≤0, x≤y3 , 3≤z≤4 claim-…

Q: How we can obtain the numerical solution of the nonlinear boundary value problem y" = y²y', 0≤t≤1…

A: Given y''=y2y', 0≤t≤1y0=0, y1=0 and t0=0, t1, t2, t3, t4, t5=1

Q: Minimize c = 3x + y + 4z subject to x + y + z ≥ 70 2x + y ≥ 50 y + z ≥ 50 x ≥ 0, y ≥ 0, z ≥ 0 c =…

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Q: Minimize c = 5x + y + 2z subject to x + y + z ≥ 90 2x + y ≥ 80 y + z ≥ 80 x ≥ 0, y ≥ 0, z ≥ 0.

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Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: We will be solving the given LPP by simplex method writing the problem by adding slack variables…

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: Minimize c = 9x + 9y subject to x + 2y ≥ 35 2x + y ≥ 35 x ≥ 0, y ≥ 0. c= (x, y)=

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Q: Maximize p = 5x − 4y + 3z subject to 2x + 2z ≤ 100 5y − 5z ≤ 50 2x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥ 0.…

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Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: Here, There are three variable given in the question and we have to maximize the objective function…

Q: Max Z=5X1+2X2 S.T. 2X1+5X2 <10 4X1 - X2 s 12 X1+X2 < 4 X1,X2 2 0 Optimal solution is X1=3, X23D0 Z=…

A: We will solve yhis problem by using graphical method. First draw the given regions in the graph.…

Q: Maximize p = /x + 5y + 6z subject to x + y - z s 12 x + 2y + z 0. p = (х, у, 2) %3D (|

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Q: Use variation of parameters to solve the given nonhomogeneous system. X' X - -7t e X(t)

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Q: Maximize p = 7x + 5y + 6z subject to x + y – z s 12 x + 2y + z 0. (х, у, 2) -(| %3D

A: When a LPP involves more than two variables, the solution for the LPP cannot be found using…

Q: Minimize c = x − 4y subject to 3x + y  ≥  5 2x − y ≥ 0 x − 3y ≤ 0 x ≥ 0, y ≥ 0.

A: PROBLEM HAS AN UNBOUNDED SOLUTION

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 8 x + y ≤ 8 x ≥ 0, y ≥ 0

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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: Maximize p = 14x + 10y + 12z subject to x + y - zs 12 x + 2y + zs 32 x + ys 20 x2 0, y 2 0, z 2 0. p…

A: the given constraints are  x+y-z≤12x+2y+z≤32x+y≤20 adding the slack variables…

Q: Minimize ?=2x+3y subject to:  4x+y≥7  x+y≥4  2x+5y≥14  x, y≥0 Corner points at…

A: The Graph is as shown below:

Q: Maximize p = x-y+z+w subject to x+y+z≤8 y+z+w≤ 8 x+z+w≤9 x+y+ws9 x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.

A: Introduction: The vertices are systematically examined as potential solutions using the simplex…

Q: Maximize p = 4x + 5y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0 p= x,y,z=

A: x,y,z= 0,150,0 p= 750 Normally these methods are solved by simplex methods but this question can…

Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: Given optimization problem is max p=14x+10y+12zsubject tox+y-z≤12x+2y+z≤32x+y≤20x≥0, y≥0, z≥0 Since…

Q: minimize c= -x+2y subject to y or equal to 4 x> or equal to 6 x+ y < or equal to 16

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Q: Maximize p = 12x + 8y subject to x + y ≤ 25 x     ≥ 10 −x + 2y ≥ 0 x ≥ 0, y ≥ 0.           p =…

A: Max P= 266.67 (x,y)=(16.67,8.33)

Q: Find the minimum and maximum of P = 7x + 6y subject to 3x  +  5y  ≥  20 3x  +  y  ≤  16 −2x  +  y…

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Q: Maximize  p = x − 3y subject to   2x  +  y ≥ 8     y ≤ 7 x ≥ 0, y ≥ 0     (x,y) =

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Q: Determine the type of the critical point (I1,I2) = 3 2 of the nonlinear system X = f(x), where x =…

A: To determine the type of the given critical point x1,x2=32,23 The given non-linear system is. x'=fx…

Q: The nonlinear system x² + y = 11, y² +x = 7 has four solutions. (a) Approximate the solutions…

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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: Maximize f 3x +y+ 5z 0, y 2 0, z >0 6x +7y + 8z subject to If no solutions exist enter DNE in all…

A: Maximize f=6x+7y+8z subject to 3x+y+5z≤205x+4y+3z≤182x+5y+4z≤24x≥0, y≥0, z≥0

Q: Maximize p = 8x + 6y subject to x + y 0 X 2 0, y > 0. p = (x, y) =

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Q: minimize subject to (xyz)-¹ x + 2y + 2z ≤ 72 x, y, z 20

A: Since you have posted multiple questions, we will solve only the first question for you.

Q: maximize p:6x+y +32 subiect to 3xty <15 2x+2yt22=20 Y-0 7:0

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Q: Minimize c = 2x + 2y + 3z subject to + z2 180 2 90 y + z2 90 x 2 0, y 2 0, z20. 2x + y (x, y, z) =

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Q: Minimize H = 10x + 2y subject to   20x + 25y ≥ 100 12x − 30y ≤ 0 x ≥ 1 x ≥ 0, y ≥ 0

A: Given: 20x+25y≥100……112x-30y≤0……2   Also, x≥1x≥0y≥0……3   To minimize: H=10x+2y

Q: Solve for the critical points and determine whether they are minimum point, maximum point or point…

A: Since multiple questions are asked , answering the first question

Q: Maximize p = x subject to x − y ≤ 4 −x + 3y ≤ 4 x ≥ 0, y ≥ 0.

A: We have,  x - y ≤ 4        and      -x + 3y ≤ 4 x ≥ 0 , y ≥ 0 We will find Maximize p = x by graph…

Q: Maximize p = 6x + 8y + 4z subject to 3x + y + z ≤ 5 x + 2y + z ≤ 5 x + y + z ≤ 4 x ≥ 0, y ≥ 0, z ≥…

A: Given that                       Max p=6x+8y+4z   subject to constraints                     3x + y…

Q: Maximize p = 5x + 7y + 6z subject to x + y + z 100 x 2 0, y 2 0, z > 0. p = (х, у, 2) 3

A: The given constraints are, x+y+z≤150, x+y+z≥100 and x≥0, y≥0, z≥0. Obtain the coordinates x,y,z…

Q: Maximize P = 2x + 6y subject to x + 2y s 8 2x + ys 10 x, y 2 )

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